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Finding the Fourth Proportional to 971.19, 1,449.70 and 842.10

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Solution

The fourth proportional to 971.19, 1,449.70 and 842.10 is: 1,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.19 : 1,449.70 = 842.10 : x
  2. Step 2: Convert to fraction form
    971.19/1,449.70 = 842.10/x
  3. Step 3: Cross multiply
    971.19x = 1,449.70 × 842.10
  4. Step 4: Simplify right side
    971.19x = 1,220,784.83
  5. Step 5: Solve for x
    x = 1,220,784.83/971.19
  6. Step 6: Final answer
    x = 1,257.00

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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.