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Finding the Fourth Proportional to 1,088.70, 1,502.72 and 646.77

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Solution

The fourth proportional to 1,088.70, 1,502.72 and 646.77 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.70 : 1,502.72 = 646.77 : x
  2. Step 2: Convert to fraction form
    1,088.70/1,502.72 = 646.77/x
  3. Step 3: Cross multiply
    1,088.70x = 1,502.72 × 646.77
  4. Step 4: Simplify right side
    1,088.70x = 971,914.21
  5. Step 5: Solve for x
    x = 971,914.21/1,088.70
  6. Step 6: Final answer
    x = 892.73

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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.