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Finding the Fourth Proportional to 971.68, 1,464.85 and 909.04

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Solution

The fourth proportional to 971.68, 1,464.85 and 909.04 is: 1,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.68 : 1,464.85 = 909.04 : x
  2. Step 2: Convert to fraction form
    971.68/1,464.85 = 909.04/x
  3. Step 3: Cross multiply
    971.68x = 1,464.85 × 909.04
  4. Step 4: Simplify right side
    971.68x = 1,331,607.24
  5. Step 5: Solve for x
    x = 1,331,607.24/971.68
  6. Step 6: Final answer
    x = 1,370.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.