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Finding the Fourth Proportional to 783.98, 1,170.24 and 726.87

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Solution

The fourth proportional to 783.98, 1,170.24 and 726.87 is: 1,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.98 : 1,170.24 = 726.87 : x
  2. Step 2: Convert to fraction form
    783.98/1,170.24 = 726.87/x
  3. Step 3: Cross multiply
    783.98x = 1,170.24 × 726.87
  4. Step 4: Simplify right side
    783.98x = 850,612.35
  5. Step 5: Solve for x
    x = 850,612.35/783.98
  6. Step 6: Final answer
    x = 1,084.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.