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Finding the Fourth Proportional to 610.56, 908.64 and 587.52

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Solution

The fourth proportional to 610.56, 908.64 and 587.52 is: 874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 908.64 = 587.52 : x
  2. Step 2: Convert to fraction form
    610.56/908.64 = 587.52/x
  3. Step 3: Cross multiply
    610.56x = 908.64 × 587.52
  4. Step 4: Simplify right side
    610.56x = 533,844.17
  5. Step 5: Solve for x
    x = 533,844.17/610.56
  6. Step 6: Final answer
    x = 874.35

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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.