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Finding the Fourth Proportional to 1,049.42, 1,574.30 and 318.94

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Solution

The fourth proportional to 1,049.42, 1,574.30 and 318.94 is: 478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.42 : 1,574.30 = 318.94 : x
  2. Step 2: Convert to fraction form
    1,049.42/1,574.30 = 318.94/x
  3. Step 3: Cross multiply
    1,049.42x = 1,574.30 × 318.94
  4. Step 4: Simplify right side
    1,049.42x = 502,102.76
  5. Step 5: Solve for x
    x = 502,102.76/1,049.42
  6. Step 6: Final answer
    x = 478.46

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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.