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Finding the Fourth Proportional to 1,153.53, 1,730.30 and 913.77

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Solution

The fourth proportional to 1,153.53, 1,730.30 and 913.77 is: 1,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.53 : 1,730.30 = 913.77 : x
  2. Step 2: Convert to fraction form
    1,153.53/1,730.30 = 913.77/x
  3. Step 3: Cross multiply
    1,153.53x = 1,730.30 × 913.77
  4. Step 4: Simplify right side
    1,153.53x = 1,581,091.66
  5. Step 5: Solve for x
    x = 1,581,091.66/1,153.53
  6. Step 6: Final answer
    x = 1,370.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.