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Finding the Fourth Proportional to 1,160.49, 1,603.50 and 913.77

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Solution

The fourth proportional to 1,160.49, 1,603.50 and 913.77 is: 1,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.49 : 1,603.50 = 913.77 : x
  2. Step 2: Convert to fraction form
    1,160.49/1,603.50 = 913.77/x
  3. Step 3: Cross multiply
    1,160.49x = 1,603.50 × 913.77
  4. Step 4: Simplify right side
    1,160.49x = 1,465,230.20
  5. Step 5: Solve for x
    x = 1,465,230.20/1,160.49
  6. Step 6: Final answer
    x = 1,262.60

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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.