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Finding the Fourth Proportional to 704.74, 972.61 and 390.07

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Solution

The fourth proportional to 704.74, 972.61 and 390.07 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.74 : 972.61 = 390.07 : x
  2. Step 2: Convert to fraction form
    704.74/972.61 = 390.07/x
  3. Step 3: Cross multiply
    704.74x = 972.61 × 390.07
  4. Step 4: Simplify right side
    704.74x = 379,385.98
  5. Step 5: Solve for x
    x = 379,385.98/704.74
  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.