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Finding the Fourth Proportional to 1,165.57, 1,748.13 and 385.58

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Solution

The fourth proportional to 1,165.57, 1,748.13 and 385.58 is: 578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.57 : 1,748.13 = 385.58 : x
  2. Step 2: Convert to fraction form
    1,165.57/1,748.13 = 385.58/x
  3. Step 3: Cross multiply
    1,165.57x = 1,748.13 × 385.58
  4. Step 4: Simplify right side
    1,165.57x = 674,035.22
  5. Step 5: Solve for x
    x = 674,035.22/1,165.57
  6. Step 6: Final answer
    x = 578.29

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1.5x scale

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.