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Finding the Fourth Proportional to 1,088.54, 1,502.37 and 646.68

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Solution

The fourth proportional to 1,088.54, 1,502.37 and 646.68 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.54 : 1,502.37 = 646.68 : x
  2. Step 2: Convert to fraction form
    1,088.54/1,502.37 = 646.68/x
  3. Step 3: Cross multiply
    1,088.54x = 1,502.37 × 646.68
  4. Step 4: Simplify right side
    1,088.54x = 971,552.63
  5. Step 5: Solve for x
    x = 971,552.63/1,088.54
  6. Step 6: Final answer
    x = 892.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.