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Finding the Fourth Proportional to 761.58, 1,050.82 and 538.18

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Solution

The fourth proportional to 761.58, 1,050.82 and 538.18 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.58 : 1,050.82 = 538.18 : x
  2. Step 2: Convert to fraction form
    761.58/1,050.82 = 538.18/x
  3. Step 3: Cross multiply
    761.58x = 1,050.82 × 538.18
  4. Step 4: Simplify right side
    761.58x = 565,526.34
  5. Step 5: Solve for x
    x = 565,526.34/761.58
  6. Step 6: Final answer
    x = 742.57

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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.