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Finding the Fourth Proportional to 784.16, 1,079.67 and 665.90

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Solution

The fourth proportional to 784.16, 1,079.67 and 665.90 is: 916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.16 : 1,079.67 = 665.90 : x
  2. Step 2: Convert to fraction form
    784.16/1,079.67 = 665.90/x
  3. Step 3: Cross multiply
    784.16x = 1,079.67 × 665.90
  4. Step 4: Simplify right side
    784.16x = 718,946.85
  5. Step 5: Solve for x
    x = 718,946.85/784.16
  6. Step 6: Final answer
    x = 916.84

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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.