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Finding the Fourth Proportional to 540.65, 749.51 and 512.93

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Solution

The fourth proportional to 540.65, 749.51 and 512.93 is: 711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.65 : 749.51 = 512.93 : x
  2. Step 2: Convert to fraction form
    540.65/749.51 = 512.93/x
  3. Step 3: Cross multiply
    540.65x = 749.51 × 512.93
  4. Step 4: Simplify right side
    540.65x = 384,446.16
  5. Step 5: Solve for x
    x = 384,446.16/540.65
  6. Step 6: Final answer
    x = 711.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.