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Finding the Fourth Proportional to 611.32, 916.08 and 456.52

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Solution

The fourth proportional to 611.32, 916.08 and 456.52 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.32 : 916.08 = 456.52 : x
  2. Step 2: Convert to fraction form
    611.32/916.08 = 456.52/x
  3. Step 3: Cross multiply
    611.32x = 916.08 × 456.52
  4. Step 4: Simplify right side
    611.32x = 418,208.84
  5. Step 5: Solve for x
    x = 418,208.84/611.32
  6. Step 6: Final answer
    x = 684.11

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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.