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Finding the Fourth Proportional to 1,048.14, 1,572.03 and 307.57

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Solution

The fourth proportional to 1,048.14, 1,572.03 and 307.57 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,572.03 = 307.57 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,572.03 = 307.57/x
  3. Step 3: Cross multiply
    1,048.14x = 1,572.03 × 307.57
  4. Step 4: Simplify right side
    1,048.14x = 483,511.23
  5. Step 5: Solve for x
    x = 483,511.23/1,048.14
  6. Step 6: Final answer
    x = 461.31

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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.