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Finding the Fourth Proportional to 603.46, 909.34 and 497.62

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Solution

The fourth proportional to 603.46, 909.34 and 497.62 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.46 : 909.34 = 497.62 : x
  2. Step 2: Convert to fraction form
    603.46/909.34 = 497.62/x
  3. Step 3: Cross multiply
    603.46x = 909.34 × 497.62
  4. Step 4: Simplify right side
    603.46x = 452,505.77
  5. Step 5: Solve for x
    x = 452,505.77/603.46
  6. Step 6: Final answer
    x = 749.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.