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Finding the Fourth Proportional to 535.46, 740.95 and 456.65

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Solution

The fourth proportional to 535.46, 740.95 and 456.65 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.46 : 740.95 = 456.65 : x
  2. Step 2: Convert to fraction form
    535.46/740.95 = 456.65/x
  3. Step 3: Cross multiply
    535.46x = 740.95 × 456.65
  4. Step 4: Simplify right side
    535.46x = 338,355.32
  5. Step 5: Solve for x
    x = 338,355.32/535.46
  6. Step 6: Final answer
    x = 631.90

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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.