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Finding the Fourth Proportional to 517.44, 714.01 and 307.69

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Solution

The fourth proportional to 517.44, 714.01 and 307.69 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.44 : 714.01 = 307.69 : x
  2. Step 2: Convert to fraction form
    517.44/714.01 = 307.69/x
  3. Step 3: Cross multiply
    517.44x = 714.01 × 307.69
  4. Step 4: Simplify right side
    517.44x = 219,693.74
  5. Step 5: Solve for x
    x = 219,693.74/517.44
  6. Step 6: Final answer
    x = 424.58

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Double scale
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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.