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Finding the Fourth Proportional to 916.93, 1,265.06 and 585.55

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Solution

The fourth proportional to 916.93, 1,265.06 and 585.55 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.93 : 1,265.06 = 585.55 : x
  2. Step 2: Convert to fraction form
    916.93/1,265.06 = 585.55/x
  3. Step 3: Cross multiply
    916.93x = 1,265.06 × 585.55
  4. Step 4: Simplify right side
    916.93x = 740,752.16
  5. Step 5: Solve for x
    x = 740,752.16/916.93
  6. Step 6: Final answer
    x = 807.86

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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.