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Finding the Fourth Proportional to 704.91, 972.69 and 390.13

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Solution

The fourth proportional to 704.91, 972.69 and 390.13 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 972.69 = 390.13 : x
  2. Step 2: Convert to fraction form
    704.91/972.69 = 390.13/x
  3. Step 3: Cross multiply
    704.91x = 972.69 × 390.13
  4. Step 4: Simplify right side
    704.91x = 379,475.55
  5. Step 5: Solve for x
    x = 379,475.55/704.91
  6. Step 6: Final answer
    x = 538.33

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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.