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Finding the Fourth Proportional to 517.38, 714.12 and 320.78

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Solution

The fourth proportional to 517.38, 714.12 and 320.78 is: 442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 714.12 = 320.78 : x
  2. Step 2: Convert to fraction form
    517.38/714.12 = 320.78/x
  3. Step 3: Cross multiply
    517.38x = 714.12 × 320.78
  4. Step 4: Simplify right side
    517.38x = 229,075.41
  5. Step 5: Solve for x
    x = 229,075.41/517.38
  6. Step 6: Final answer
    x = 442.76

Related Problems

Find fourth proportional to 258.69, 357.06 and 160.39
Half scale
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Double scale
Find fourth proportional to 518.38, 715.50 and 321.78
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.