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Finding the Fourth Proportional to 610.56, 840.64 and 532.90

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Solution

The fourth proportional to 610.56, 840.64 and 532.90 is: 733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 840.64 = 532.90 : x
  2. Step 2: Convert to fraction form
    610.56/840.64 = 532.90/x
  3. Step 3: Cross multiply
    610.56x = 840.64 × 532.90
  4. Step 4: Simplify right side
    610.56x = 447,977.06
  5. Step 5: Solve for x
    x = 447,977.06/610.56
  6. Step 6: Final answer
    x = 733.72

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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.