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Finding the Fourth Proportional to 916.45, 1,264.89 and 585.21

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Solution

The fourth proportional to 916.45, 1,264.89 and 585.21 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.45 : 1,264.89 = 585.21 : x
  2. Step 2: Convert to fraction form
    916.45/1,264.89 = 585.21/x
  3. Step 3: Cross multiply
    916.45x = 1,264.89 × 585.21
  4. Step 4: Simplify right side
    916.45x = 740,226.28
  5. Step 5: Solve for x
    x = 740,226.28/916.45
  6. Step 6: Final answer
    x = 807.71

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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.