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Finding the Fourth Proportional to 1,048.16, 1,572.24 and 278.66

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Solution

The fourth proportional to 1,048.16, 1,572.24 and 278.66 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.16 : 1,572.24 = 278.66 : x
  2. Step 2: Convert to fraction form
    1,048.16/1,572.24 = 278.66/x
  3. Step 3: Cross multiply
    1,048.16x = 1,572.24 × 278.66
  4. Step 4: Simplify right side
    1,048.16x = 438,111.14
  5. Step 5: Solve for x
    x = 438,111.14/1,048.16
  6. Step 6: Final answer
    x = 417.98

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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.