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Finding the Fourth Proportional to 1,048.22, 1,572.55 and 307.84

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Solution

The fourth proportional to 1,048.22, 1,572.55 and 307.84 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.22 : 1,572.55 = 307.84 : x
  2. Step 2: Convert to fraction form
    1,048.22/1,572.55 = 307.84/x
  3. Step 3: Cross multiply
    1,048.22x = 1,572.55 × 307.84
  4. Step 4: Simplify right side
    1,048.22x = 484,093.79
  5. Step 5: Solve for x
    x = 484,093.79/1,048.22
  6. Step 6: Final answer
    x = 461.82

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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.