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Finding the Fourth Proportional to 1,461.79, 2,192.10 and 691.75

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Solution

The fourth proportional to 1,461.79, 2,192.10 and 691.75 is: 1,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.79 : 2,192.10 = 691.75 : x
  2. Step 2: Convert to fraction form
    1,461.79/2,192.10 = 691.75/x
  3. Step 3: Cross multiply
    1,461.79x = 2,192.10 × 691.75
  4. Step 4: Simplify right side
    1,461.79x = 1,516,385.18
  5. Step 5: Solve for x
    x = 1,516,385.18/1,461.79
  6. Step 6: Final answer
    x = 1,037.35

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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.