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Finding the Fourth Proportional to 1,088.66, 1,502.38 and 646.80

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Solution

The fourth proportional to 1,088.66, 1,502.38 and 646.80 is: 892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.66 : 1,502.38 = 646.80 : x
  2. Step 2: Convert to fraction form
    1,088.66/1,502.38 = 646.80/x
  3. Step 3: Cross multiply
    1,088.66x = 1,502.38 × 646.80
  4. Step 4: Simplify right side
    1,088.66x = 971,739.38
  5. Step 5: Solve for x
    x = 971,739.38/1,088.66
  6. Step 6: Final answer
    x = 892.60

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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.