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Finding the Fourth Proportional to 517.72, 714.36 and 342.76

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Solution

The fourth proportional to 517.72, 714.36 and 342.76 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 714.36 = 342.76 : x
  2. Step 2: Convert to fraction form
    517.72/714.36 = 342.76/x
  3. Step 3: Cross multiply
    517.72x = 714.36 × 342.76
  4. Step 4: Simplify right side
    517.72x = 244,854.03
  5. Step 5: Solve for x
    x = 244,854.03/517.72
  6. Step 6: Final answer
    x = 472.95

Related Problems

Find fourth proportional to 258.86, 357.18 and 171.38
Half scale
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Double scale
Find fourth proportional to 518.72, 715.74 and 343.76
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.