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Finding the Fourth Proportional to 909.98, 1,256.17 and 630.16

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Solution

The fourth proportional to 909.98, 1,256.17 and 630.16 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 1,256.17 = 630.16 : x
  2. Step 2: Convert to fraction form
    909.98/1,256.17 = 630.16/x
  3. Step 3: Cross multiply
    909.98x = 1,256.17 × 630.16
  4. Step 4: Simplify right side
    909.98x = 791,588.09
  5. Step 5: Solve for x
    x = 791,588.09/909.98
  6. Step 6: Final answer
    x = 869.90

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1.5x scale

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.