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Finding the Fourth Proportional to 761.96, 1,050.13 and 565.13

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Solution

The fourth proportional to 761.96, 1,050.13 and 565.13 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.96 : 1,050.13 = 565.13 : x
  2. Step 2: Convert to fraction form
    761.96/1,050.13 = 565.13/x
  3. Step 3: Cross multiply
    761.96x = 1,050.13 × 565.13
  4. Step 4: Simplify right side
    761.96x = 593,461.18
  5. Step 5: Solve for x
    x = 593,461.18/761.96
  6. Step 6: Final answer
    x = 778.86

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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.