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Finding the Fourth Proportional to 1,211.64, 1,671.95 and 707.42

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Solution

The fourth proportional to 1,211.64, 1,671.95 and 707.42 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.64 : 1,671.95 = 707.42 : x
  2. Step 2: Convert to fraction form
    1,211.64/1,671.95 = 707.42/x
  3. Step 3: Cross multiply
    1,211.64x = 1,671.95 × 707.42
  4. Step 4: Simplify right side
    1,211.64x = 1,182,758.97
  5. Step 5: Solve for x
    x = 1,182,758.97/1,211.64
  6. Step 6: Final answer
    x = 976.16

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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.