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Finding the Fourth Proportional to 1,135.02, 1,566.76 and 742.72

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Solution

The fourth proportional to 1,135.02, 1,566.76 and 742.72 is: 1,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.02 : 1,566.76 = 742.72 : x
  2. Step 2: Convert to fraction form
    1,135.02/1,566.76 = 742.72/x
  3. Step 3: Cross multiply
    1,135.02x = 1,566.76 × 742.72
  4. Step 4: Simplify right side
    1,135.02x = 1,163,663.99
  5. Step 5: Solve for x
    x = 1,163,663.99/1,135.02
  6. Step 6: Final answer
    x = 1,025.24

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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.