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Finding the Fourth Proportional to 1,393.18, 2,088.92 and 527.28

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Solution

The fourth proportional to 1,393.18, 2,088.92 and 527.28 is: 790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.18 : 2,088.92 = 527.28 : x
  2. Step 2: Convert to fraction form
    1,393.18/2,088.92 = 527.28/x
  3. Step 3: Cross multiply
    1,393.18x = 2,088.92 × 527.28
  4. Step 4: Simplify right side
    1,393.18x = 1,101,445.74
  5. Step 5: Solve for x
    x = 1,101,445.74/1,393.18
  6. Step 6: Final answer
    x = 790.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.