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Finding the Fourth Proportional to 916.94, 1,265.31 and 585.47

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Solution

The fourth proportional to 916.94, 1,265.31 and 585.47 is: 807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.94 : 1,265.31 = 585.47 : x
  2. Step 2: Convert to fraction form
    916.94/1,265.31 = 585.47/x
  3. Step 3: Cross multiply
    916.94x = 1,265.31 × 585.47
  4. Step 4: Simplify right side
    916.94x = 740,804.21
  5. Step 5: Solve for x
    x = 740,804.21/916.94
  6. Step 6: Final answer
    x = 807.91

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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.