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Finding the Fourth Proportional to 710.47, 1,063.41 and 437.11

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Solution

The fourth proportional to 710.47, 1,063.41 and 437.11 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.47 : 1,063.41 = 437.11 : x
  2. Step 2: Convert to fraction form
    710.47/1,063.41 = 437.11/x
  3. Step 3: Cross multiply
    710.47x = 1,063.41 × 437.11
  4. Step 4: Simplify right side
    710.47x = 464,827.15
  5. Step 5: Solve for x
    x = 464,827.15/710.47
  6. Step 6: Final answer
    x = 654.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.