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Finding the Fourth Proportional to 1,048.50, 1,572.91 and 318.06

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Solution

The fourth proportional to 1,048.50, 1,572.91 and 318.06 is: 477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,572.91 = 318.06 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,572.91 = 318.06/x
  3. Step 3: Cross multiply
    1,048.50x = 1,572.91 × 318.06
  4. Step 4: Simplify right side
    1,048.50x = 500,278.96
  5. Step 5: Solve for x
    x = 500,278.96/1,048.50
  6. Step 6: Final answer
    x = 477.14

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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.