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Finding the Fourth Proportional to 611.60, 916.12 and 440.08

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Solution

The fourth proportional to 611.60, 916.12 and 440.08 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 916.12 = 440.08 : x
  2. Step 2: Convert to fraction form
    611.60/916.12 = 440.08/x
  3. Step 3: Cross multiply
    611.60x = 916.12 × 440.08
  4. Step 4: Simplify right side
    611.60x = 403,166.09
  5. Step 5: Solve for x
    x = 403,166.09/611.60
  6. Step 6: Final answer
    x = 659.20

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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.