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Finding the Fourth Proportional to 616, 917.48 and 585.16

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Solution

The fourth proportional to 616, 917.48 and 585.16 is: 871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 917.48 = 585.16 : x
  2. Step 2: Convert to fraction form
    616/917.48 = 585.16/x
  3. Step 3: Cross multiply
    616x = 917.48 × 585.16
  4. Step 4: Simplify right side
    616x = 536,872.60
  5. Step 5: Solve for x
    x = 536,872.60/616
  6. Step 6: Final answer
    x = 871.55

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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.