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Finding the Fourth Proportional to 1,533.65, 2,298.43 and 875.73

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Solution

The fourth proportional to 1,533.65, 2,298.43 and 875.73 is: 1,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.65 : 2,298.43 = 875.73 : x
  2. Step 2: Convert to fraction form
    1,533.65/2,298.43 = 875.73/x
  3. Step 3: Cross multiply
    1,533.65x = 2,298.43 × 875.73
  4. Step 4: Simplify right side
    1,533.65x = 2,012,801.91
  5. Step 5: Solve for x
    x = 2,012,801.91/1,533.65
  6. Step 6: Final answer
    x = 1,312.42

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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.