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Finding the Fourth Proportional to 807.01, 1,114.29 and 586.49

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Solution

The fourth proportional to 807.01, 1,114.29 and 586.49 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.01 : 1,114.29 = 586.49 : x
  2. Step 2: Convert to fraction form
    807.01/1,114.29 = 586.49/x
  3. Step 3: Cross multiply
    807.01x = 1,114.29 × 586.49
  4. Step 4: Simplify right side
    807.01x = 653,514.37
  5. Step 5: Solve for x
    x = 653,514.37/807.01
  6. Step 6: Final answer
    x = 809.80

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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.