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Finding the Fourth Proportional to 1,224.67, 1,690.03 and 686.30

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Solution

The fourth proportional to 1,224.67, 1,690.03 and 686.30 is: 947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.67 : 1,690.03 = 686.30 : x
  2. Step 2: Convert to fraction form
    1,224.67/1,690.03 = 686.30/x
  3. Step 3: Cross multiply
    1,224.67x = 1,690.03 × 686.30
  4. Step 4: Simplify right side
    1,224.67x = 1,159,870.10
  5. Step 5: Solve for x
    x = 1,159,870.10/1,224.67
  6. Step 6: Final answer
    x = 947.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.