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Finding the Fourth Proportional to 761.66, 1,142.03 and 298.89

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Solution

The fourth proportional to 761.66, 1,142.03 and 298.89 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.66 : 1,142.03 = 298.89 : x
  2. Step 2: Convert to fraction form
    761.66/1,142.03 = 298.89/x
  3. Step 3: Cross multiply
    761.66x = 1,142.03 × 298.89
  4. Step 4: Simplify right side
    761.66x = 341,341.35
  5. Step 5: Solve for x
    x = 341,341.35/761.66
  6. Step 6: Final answer
    x = 448.15

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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.