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Finding the Fourth Proportional to 540, 805.23 and 500.31

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Solution

The fourth proportional to 540, 805.23 and 500.31 is: 746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 805.23 = 500.31 : x
  2. Step 2: Convert to fraction form
    540/805.23 = 500.31/x
  3. Step 3: Cross multiply
    540x = 805.23 × 500.31
  4. Step 4: Simplify right side
    540x = 402,864.62
  5. Step 5: Solve for x
    x = 402,864.62/540
  6. Step 6: Final answer
    x = 746.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.