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Finding the Fourth Proportional to 614.32, 916.64 and 552.96

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Solution

The fourth proportional to 614.32, 916.64 and 552.96 is: 825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.32 : 916.64 = 552.96 : x
  2. Step 2: Convert to fraction form
    614.32/916.64 = 552.96/x
  3. Step 3: Cross multiply
    614.32x = 916.64 × 552.96
  4. Step 4: Simplify right side
    614.32x = 506,865.25
  5. Step 5: Solve for x
    x = 506,865.25/614.32
  6. Step 6: Final answer
    x = 825.08

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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.