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Finding the Fourth Proportional to 1,533.36, 2,299.68 and 752.58

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Solution

The fourth proportional to 1,533.36, 2,299.68 and 752.58 is: 1,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.36 : 2,299.68 = 752.58 : x
  2. Step 2: Convert to fraction form
    1,533.36/2,299.68 = 752.58/x
  3. Step 3: Cross multiply
    1,533.36x = 2,299.68 × 752.58
  4. Step 4: Simplify right side
    1,533.36x = 1,730,693.17
  5. Step 5: Solve for x
    x = 1,730,693.17/1,533.36
  6. Step 6: Final answer
    x = 1,128.69

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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.