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Finding the Fourth Proportional to 811.08, 1,209.60 and 714.06

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Solution

The fourth proportional to 811.08, 1,209.60 and 714.06 is: 1,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,209.60 = 714.06 : x
  2. Step 2: Convert to fraction form
    811.08/1,209.60 = 714.06/x
  3. Step 3: Cross multiply
    811.08x = 1,209.60 × 714.06
  4. Step 4: Simplify right side
    811.08x = 863,726.98
  5. Step 5: Solve for x
    x = 863,726.98/811.08
  6. Step 6: Final answer
    x = 1,064.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.