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Finding the Fourth Proportional to 783.13, 1,079.92 and 678.17

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Solution

The fourth proportional to 783.13, 1,079.92 and 678.17 is: 935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,079.92 = 678.17 : x
  2. Step 2: Convert to fraction form
    783.13/1,079.92 = 678.17/x
  3. Step 3: Cross multiply
    783.13x = 1,079.92 × 678.17
  4. Step 4: Simplify right side
    783.13x = 732,369.35
  5. Step 5: Solve for x
    x = 732,369.35/783.13
  6. Step 6: Final answer
    x = 935.18

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1.5x scale

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.