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Finding the Fourth Proportional to 1,088.82, 1,502.40 and 646.56

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Solution

The fourth proportional to 1,088.82, 1,502.40 and 646.56 is: 892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.82 : 1,502.40 = 646.56 : x
  2. Step 2: Convert to fraction form
    1,088.82/1,502.40 = 646.56/x
  3. Step 3: Cross multiply
    1,088.82x = 1,502.40 × 646.56
  4. Step 4: Simplify right side
    1,088.82x = 971,391.74
  5. Step 5: Solve for x
    x = 971,391.74/1,088.82
  6. Step 6: Final answer
    x = 892.15

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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.