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Finding the Fourth Proportional to 530.69, 731.70 and 390.38

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Solution

The fourth proportional to 530.69, 731.70 and 390.38 is: 538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 731.70 = 390.38 : x
  2. Step 2: Convert to fraction form
    530.69/731.70 = 390.38/x
  3. Step 3: Cross multiply
    530.69x = 731.70 × 390.38
  4. Step 4: Simplify right side
    530.69x = 285,641.05
  5. Step 5: Solve for x
    x = 285,641.05/530.69
  6. Step 6: Final answer
    x = 538.24

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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.