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Finding the Fourth Proportional to 782.19, 1,079.51 and 585.36

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Solution

The fourth proportional to 782.19, 1,079.51 and 585.36 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,079.51 = 585.36 : x
  2. Step 2: Convert to fraction form
    782.19/1,079.51 = 585.36/x
  3. Step 3: Cross multiply
    782.19x = 1,079.51 × 585.36
  4. Step 4: Simplify right side
    782.19x = 631,901.97
  5. Step 5: Solve for x
    x = 631,901.97/782.19
  6. Step 6: Final answer
    x = 807.86

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Double scale
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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.