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Finding the Fourth Proportional to 517.83, 714.75 and 321.23

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Solution

The fourth proportional to 517.83, 714.75 and 321.23 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.83 : 714.75 = 321.23 : x
  2. Step 2: Convert to fraction form
    517.83/714.75 = 321.23/x
  3. Step 3: Cross multiply
    517.83x = 714.75 × 321.23
  4. Step 4: Simplify right side
    517.83x = 229,599.14
  5. Step 5: Solve for x
    x = 229,599.14/517.83
  6. Step 6: Final answer
    x = 443.39

Related Problems

Find fourth proportional to 258.92, 357.38 and 160.62
Half scale
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Double scale
Find fourth proportional to 518.83, 716.13 and 322.23
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.