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Finding the Fourth Proportional to 1,106.65, 1,527.15 and 686.78

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Solution

The fourth proportional to 1,106.65, 1,527.15 and 686.78 is: 947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.65 : 1,527.15 = 686.78 : x
  2. Step 2: Convert to fraction form
    1,106.65/1,527.15 = 686.78/x
  3. Step 3: Cross multiply
    1,106.65x = 1,527.15 × 686.78
  4. Step 4: Simplify right side
    1,106.65x = 1,048,816.08
  5. Step 5: Solve for x
    x = 1,048,816.08/1,106.65
  6. Step 6: Final answer
    x = 947.74

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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.