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Finding the Fourth Proportional to 1,158.55, 1,738.05 and 509.28

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Solution

The fourth proportional to 1,158.55, 1,738.05 and 509.28 is: 764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.55 : 1,738.05 = 509.28 : x
  2. Step 2: Convert to fraction form
    1,158.55/1,738.05 = 509.28/x
  3. Step 3: Cross multiply
    1,158.55x = 1,738.05 × 509.28
  4. Step 4: Simplify right side
    1,158.55x = 885,154.10
  5. Step 5: Solve for x
    x = 885,154.10/1,158.55
  6. Step 6: Final answer
    x = 764.02

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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.