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Finding the Fourth Proportional to 972.56, 1,466.16 and 909.92

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Solution

The fourth proportional to 972.56, 1,466.16 and 909.92 is: 1,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.56 : 1,466.16 = 909.92 : x
  2. Step 2: Convert to fraction form
    972.56/1,466.16 = 909.92/x
  3. Step 3: Cross multiply
    972.56x = 1,466.16 × 909.92
  4. Step 4: Simplify right side
    972.56x = 1,334,088.31
  5. Step 5: Solve for x
    x = 1,334,088.31/972.56
  6. Step 6: Final answer
    x = 1,371.73

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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.