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Finding the Fourth Proportional to 813.67, 1,219.46 and 710.47

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Solution

The fourth proportional to 813.67, 1,219.46 and 710.47 is: 1,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.67 : 1,219.46 = 710.47 : x
  2. Step 2: Convert to fraction form
    813.67/1,219.46 = 710.47/x
  3. Step 3: Cross multiply
    813.67x = 1,219.46 × 710.47
  4. Step 4: Simplify right side
    813.67x = 866,386.19
  5. Step 5: Solve for x
    x = 866,386.19/813.67
  6. Step 6: Final answer
    x = 1,064.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.