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Finding the Fourth Proportional to 561.12, 837.60 and 497.04

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Solution

The fourth proportional to 561.12, 837.60 and 497.04 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 837.60 = 497.04 : x
  2. Step 2: Convert to fraction form
    561.12/837.60 = 497.04/x
  3. Step 3: Cross multiply
    561.12x = 837.60 × 497.04
  4. Step 4: Simplify right side
    561.12x = 416,320.70
  5. Step 5: Solve for x
    x = 416,320.70/561.12
  6. Step 6: Final answer
    x = 741.95

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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.