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Finding the Fourth Proportional to 833.95, 1,150.98 and 497.89

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Solution

The fourth proportional to 833.95, 1,150.98 and 497.89 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.95 : 1,150.98 = 497.89 : x
  2. Step 2: Convert to fraction form
    833.95/1,150.98 = 497.89/x
  3. Step 3: Cross multiply
    833.95x = 1,150.98 × 497.89
  4. Step 4: Simplify right side
    833.95x = 573,053.19
  5. Step 5: Solve for x
    x = 573,053.19/833.95
  6. Step 6: Final answer
    x = 687.16

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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.