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Finding the Fourth Proportional to 916.47, 1,264.86 and 584.91

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Solution

The fourth proportional to 916.47, 1,264.86 and 584.91 is: 807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.47 : 1,264.86 = 584.91 : x
  2. Step 2: Convert to fraction form
    916.47/1,264.86 = 584.91/x
  3. Step 3: Cross multiply
    916.47x = 1,264.86 × 584.91
  4. Step 4: Simplify right side
    916.47x = 739,829.26
  5. Step 5: Solve for x
    x = 739,829.26/916.47
  6. Step 6: Final answer
    x = 807.26

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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.