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Finding the Fourth Proportional to 1,565.17, 2,159.85 and 866.50

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Solution

The fourth proportional to 1,565.17, 2,159.85 and 866.50 is: 1,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.17 : 2,159.85 = 866.50 : x
  2. Step 2: Convert to fraction form
    1,565.17/2,159.85 = 866.50/x
  3. Step 3: Cross multiply
    1,565.17x = 2,159.85 × 866.50
  4. Step 4: Simplify right side
    1,565.17x = 1,871,510.03
  5. Step 5: Solve for x
    x = 1,871,510.03/1,565.17
  6. Step 6: Final answer
    x = 1,195.72

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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.