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Finding the Fourth Proportional to 761.58, 1,142.43 and 328.77

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Solution

The fourth proportional to 761.58, 1,142.43 and 328.77 is: 493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.58 : 1,142.43 = 328.77 : x
  2. Step 2: Convert to fraction form
    761.58/1,142.43 = 328.77/x
  3. Step 3: Cross multiply
    761.58x = 1,142.43 × 328.77
  4. Step 4: Simplify right side
    761.58x = 375,596.71
  5. Step 5: Solve for x
    x = 375,596.71/761.58
  6. Step 6: Final answer
    x = 493.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.