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Finding the Fourth Proportional to 1,155.30, 1,733.53 and 578.13

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Solution

The fourth proportional to 1,155.30, 1,733.53 and 578.13 is: 867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.30 : 1,733.53 = 578.13 : x
  2. Step 2: Convert to fraction form
    1,155.30/1,733.53 = 578.13/x
  3. Step 3: Cross multiply
    1,155.30x = 1,733.53 × 578.13
  4. Step 4: Simplify right side
    1,155.30x = 1,002,197.03
  5. Step 5: Solve for x
    x = 1,002,197.03/1,155.30
  6. Step 6: Final answer
    x = 867.48

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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.