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Finding the Fourth Proportional to 1,165.64, 1,607 and 916

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Solution

The fourth proportional to 1,165.64, 1,607 and 916 is: 1,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,607 = 916 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,607 = 916/x
  3. Step 3: Cross multiply
    1,165.64x = 1,607 × 916
  4. Step 4: Simplify right side
    1,165.64x = 1,472,012
  5. Step 5: Solve for x
    x = 1,472,012/1,165.64
  6. Step 6: Final answer
    x = 1,262.84

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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.