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Finding the Fourth Proportional to 616.19, 848.52 and 527.31

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Solution

The fourth proportional to 616.19, 848.52 and 527.31 is: 726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 848.52 = 527.31 : x
  2. Step 2: Convert to fraction form
    616.19/848.52 = 527.31/x
  3. Step 3: Cross multiply
    616.19x = 848.52 × 527.31
  4. Step 4: Simplify right side
    616.19x = 447,433.08
  5. Step 5: Solve for x
    x = 447,433.08/616.19
  6. Step 6: Final answer
    x = 726.13

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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.