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Finding the Fourth Proportional to 712.55, 1,064.14 and 615.25

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Solution

The fourth proportional to 712.55, 1,064.14 and 615.25 is: 918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 1,064.14 = 615.25 : x
  2. Step 2: Convert to fraction form
    712.55/1,064.14 = 615.25/x
  3. Step 3: Cross multiply
    712.55x = 1,064.14 × 615.25
  4. Step 4: Simplify right side
    712.55x = 654,705.94
  5. Step 5: Solve for x
    x = 654,705.94/712.55
  6. Step 6: Final answer
    x = 918.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.