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Finding the Fourth Proportional to 611.04, 916.11 and 456.13

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Solution

The fourth proportional to 611.04, 916.11 and 456.13 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 916.11 = 456.13 : x
  2. Step 2: Convert to fraction form
    611.04/916.11 = 456.13/x
  3. Step 3: Cross multiply
    611.04x = 916.11 × 456.13
  4. Step 4: Simplify right side
    611.04x = 417,866.40
  5. Step 5: Solve for x
    x = 417,866.40/611.04
  6. Step 6: Final answer
    x = 683.86

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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.