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Finding the Fourth Proportional to 1,050.12, 1,574.40 and 876.42

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Solution

The fourth proportional to 1,050.12, 1,574.40 and 876.42 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.12 : 1,574.40 = 876.42 : x
  2. Step 2: Convert to fraction form
    1,050.12/1,574.40 = 876.42/x
  3. Step 3: Cross multiply
    1,050.12x = 1,574.40 × 876.42
  4. Step 4: Simplify right side
    1,050.12x = 1,379,835.65
  5. Step 5: Solve for x
    x = 1,379,835.65/1,050.12
  6. Step 6: Final answer
    x = 1,313.98

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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.