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Finding the Fourth Proportional to 616.78, 917.60 and 593.02

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Solution

The fourth proportional to 616.78, 917.60 and 593.02 is: 882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.78 : 917.60 = 593.02 : x
  2. Step 2: Convert to fraction form
    616.78/917.60 = 593.02/x
  3. Step 3: Cross multiply
    616.78x = 917.60 × 593.02
  4. Step 4: Simplify right side
    616.78x = 544,155.15
  5. Step 5: Solve for x
    x = 544,155.15/616.78
  6. Step 6: Final answer
    x = 882.25

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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.