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Finding the Fourth Proportional to 971.80, 1,449.98 and 902.98

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Solution

The fourth proportional to 971.80, 1,449.98 and 902.98 is: 1,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,449.98 = 902.98 : x
  2. Step 2: Convert to fraction form
    971.80/1,449.98 = 902.98/x
  3. Step 3: Cross multiply
    971.80x = 1,449.98 × 902.98
  4. Step 4: Simplify right side
    971.80x = 1,309,302.94
  5. Step 5: Solve for x
    x = 1,309,302.94/971.80
  6. Step 6: Final answer
    x = 1,347.30

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1.5x scale

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.