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Finding the Fourth Proportional to 807.18, 1,207.66 and 714.84

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Solution

The fourth proportional to 807.18, 1,207.66 and 714.84 is: 1,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.18 : 1,207.66 = 714.84 : x
  2. Step 2: Convert to fraction form
    807.18/1,207.66 = 714.84/x
  3. Step 3: Cross multiply
    807.18x = 1,207.66 × 714.84
  4. Step 4: Simplify right side
    807.18x = 863,283.67
  5. Step 5: Solve for x
    x = 863,283.67/807.18
  6. Step 6: Final answer
    x = 1,069.51

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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.