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Finding the Fourth Proportional to 610.72, 916.16 and 286.16

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Solution

The fourth proportional to 610.72, 916.16 and 286.16 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.72 : 916.16 = 286.16 : x
  2. Step 2: Convert to fraction form
    610.72/916.16 = 286.16/x
  3. Step 3: Cross multiply
    610.72x = 916.16 × 286.16
  4. Step 4: Simplify right side
    610.72x = 262,168.35
  5. Step 5: Solve for x
    x = 262,168.35/610.72
  6. Step 6: Final answer
    x = 429.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.