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Finding the Fourth Proportional to 614.13, 849.72 and 535.61

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Solution

The fourth proportional to 614.13, 849.72 and 535.61 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.13 : 849.72 = 535.61 : x
  2. Step 2: Convert to fraction form
    614.13/849.72 = 535.61/x
  3. Step 3: Cross multiply
    614.13x = 849.72 × 535.61
  4. Step 4: Simplify right side
    614.13x = 455,118.53
  5. Step 5: Solve for x
    x = 455,118.53/614.13
  6. Step 6: Final answer
    x = 741.08

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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.