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Finding the Fourth Proportional to 1,407.91, 2,110.17 and 656.40

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Solution

The fourth proportional to 1,407.91, 2,110.17 and 656.40 is: 983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.91 : 2,110.17 = 656.40 : x
  2. Step 2: Convert to fraction form
    1,407.91/2,110.17 = 656.40/x
  3. Step 3: Cross multiply
    1,407.91x = 2,110.17 × 656.40
  4. Step 4: Simplify right side
    1,407.91x = 1,385,115.59
  5. Step 5: Solve for x
    x = 1,385,115.59/1,407.91
  6. Step 6: Final answer
    x = 983.81

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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.