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Finding the Fourth Proportional to 742.17, 1,113.93 and 535.77

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Solution

The fourth proportional to 742.17, 1,113.93 and 535.77 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.17 : 1,113.93 = 535.77 : x
  2. Step 2: Convert to fraction form
    742.17/1,113.93 = 535.77/x
  3. Step 3: Cross multiply
    742.17x = 1,113.93 × 535.77
  4. Step 4: Simplify right side
    742.17x = 596,810.28
  5. Step 5: Solve for x
    x = 596,810.28/742.17
  6. Step 6: Final answer
    x = 804.14

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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.