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Finding the Fourth Proportional to 1,088.06, 1,501.55 and 615.92

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Solution

The fourth proportional to 1,088.06, 1,501.55 and 615.92 is: 849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.06 : 1,501.55 = 615.92 : x
  2. Step 2: Convert to fraction form
    1,088.06/1,501.55 = 615.92/x
  3. Step 3: Cross multiply
    1,088.06x = 1,501.55 × 615.92
  4. Step 4: Simplify right side
    1,088.06x = 924,834.68
  5. Step 5: Solve for x
    x = 924,834.68/1,088.06
  6. Step 6: Final answer
    x = 849.98

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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.