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Finding the Fourth Proportional to 487.52, 734.86 and 459.29

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Solution

The fourth proportional to 487.52, 734.86 and 459.29 is: 692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.52 : 734.86 = 459.29 : x
  2. Step 2: Convert to fraction form
    487.52/734.86 = 459.29/x
  3. Step 3: Cross multiply
    487.52x = 734.86 × 459.29
  4. Step 4: Simplify right side
    487.52x = 337,509.54
  5. Step 5: Solve for x
    x = 337,509.54/487.52
  6. Step 6: Final answer
    x = 692.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.