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Finding the Fourth Proportional to 783.70, 1,079.04 and 665.42

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Solution

The fourth proportional to 783.70, 1,079.04 and 665.42 is: 916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.70 : 1,079.04 = 665.42 : x
  2. Step 2: Convert to fraction form
    783.70/1,079.04 = 665.42/x
  3. Step 3: Cross multiply
    783.70x = 1,079.04 × 665.42
  4. Step 4: Simplify right side
    783.70x = 718,011.47
  5. Step 5: Solve for x
    x = 718,011.47/783.70
  6. Step 6: Final answer
    x = 916.19

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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.