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Finding the Fourth Proportional to 916.95, 1,265.37 and 518.61

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Solution

The fourth proportional to 916.95, 1,265.37 and 518.61 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,265.37 = 518.61 : x
  2. Step 2: Convert to fraction form
    916.95/1,265.37 = 518.61/x
  3. Step 3: Cross multiply
    916.95x = 1,265.37 × 518.61
  4. Step 4: Simplify right side
    916.95x = 656,228.51
  5. Step 5: Solve for x
    x = 656,228.51/916.95
  6. Step 6: Final answer
    x = 715.66

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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.