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Finding the Fourth Proportional to 761.88, 1,142.94 and 626.16

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Solution

The fourth proportional to 761.88, 1,142.94 and 626.16 is: 939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,142.94 = 626.16 : x
  2. Step 2: Convert to fraction form
    761.88/1,142.94 = 626.16/x
  3. Step 3: Cross multiply
    761.88x = 1,142.94 × 626.16
  4. Step 4: Simplify right side
    761.88x = 715,663.31
  5. Step 5: Solve for x
    x = 715,663.31/761.88
  6. Step 6: Final answer
    x = 939.34

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1.5x scale

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.