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Finding the Fourth Proportional to 497.07, 740.61 and 469.13

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Solution

The fourth proportional to 497.07, 740.61 and 469.13 is: 698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.07 : 740.61 = 469.13 : x
  2. Step 2: Convert to fraction form
    497.07/740.61 = 469.13/x
  3. Step 3: Cross multiply
    497.07x = 740.61 × 469.13
  4. Step 4: Simplify right side
    497.07x = 347,438.67
  5. Step 5: Solve for x
    x = 347,438.67/497.07
  6. Step 6: Final answer
    x = 698.97

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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.