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Finding the Fourth Proportional to 610.13, 914.15 and 435.91

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Solution

The fourth proportional to 610.13, 914.15 and 435.91 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.13 : 914.15 = 435.91 : x
  2. Step 2: Convert to fraction form
    610.13/914.15 = 435.91/x
  3. Step 3: Cross multiply
    610.13x = 914.15 × 435.91
  4. Step 4: Simplify right side
    610.13x = 398,484.22
  5. Step 5: Solve for x
    x = 398,484.22/610.13
  6. Step 6: Final answer
    x = 653.12

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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.