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Finding the Fourth Proportional to 1,155.52, 1,733.36 and 1,019.52

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Solution

The fourth proportional to 1,155.52, 1,733.36 and 1,019.52 is: 1,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.52 : 1,733.36 = 1,019.52 : x
  2. Step 2: Convert to fraction form
    1,155.52/1,733.36 = 1,019.52/x
  3. Step 3: Cross multiply
    1,155.52x = 1,733.36 × 1,019.52
  4. Step 4: Simplify right side
    1,155.52x = 1,767,195.19
  5. Step 5: Solve for x
    x = 1,767,195.19/1,155.52
  6. Step 6: Final answer
    x = 1,529.35

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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.