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Finding the Fourth Proportional to 761.01, 1,050.19 and 411.70

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Solution

The fourth proportional to 761.01, 1,050.19 and 411.70 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.01 : 1,050.19 = 411.70 : x
  2. Step 2: Convert to fraction form
    761.01/1,050.19 = 411.70/x
  3. Step 3: Cross multiply
    761.01x = 1,050.19 × 411.70
  4. Step 4: Simplify right side
    761.01x = 432,363.22
  5. Step 5: Solve for x
    x = 432,363.22/761.01
  6. Step 6: Final answer
    x = 568.14

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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.