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Finding the Fourth Proportional to 972.91, 1,466.55 and 916.48

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Solution

The fourth proportional to 972.91, 1,466.55 and 916.48 is: 1,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,466.55 = 916.48 : x
  2. Step 2: Convert to fraction form
    972.91/1,466.55 = 916.48/x
  3. Step 3: Cross multiply
    972.91x = 1,466.55 × 916.48
  4. Step 4: Simplify right side
    972.91x = 1,344,065.58
  5. Step 5: Solve for x
    x = 1,344,065.58/972.91
  6. Step 6: Final answer
    x = 1,381.49

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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.