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Finding the Fourth Proportional to 972.71, 1,341.33 and 916.91

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Solution

The fourth proportional to 972.71, 1,341.33 and 916.91 is: 1,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.71 : 1,341.33 = 916.91 : x
  2. Step 2: Convert to fraction form
    972.71/1,341.33 = 916.91/x
  3. Step 3: Cross multiply
    972.71x = 1,341.33 × 916.91
  4. Step 4: Simplify right side
    972.71x = 1,229,878.89
  5. Step 5: Solve for x
    x = 1,229,878.89/972.71
  6. Step 6: Final answer
    x = 1,264.38

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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.