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Finding the Fourth Proportional to 1,018.65, 1,527.97 and 278.26

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Solution

The fourth proportional to 1,018.65, 1,527.97 and 278.26 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.65 : 1,527.97 = 278.26 : x
  2. Step 2: Convert to fraction form
    1,018.65/1,527.97 = 278.26/x
  3. Step 3: Cross multiply
    1,018.65x = 1,527.97 × 278.26
  4. Step 4: Simplify right side
    1,018.65x = 425,172.93
  5. Step 5: Solve for x
    x = 425,172.93/1,018.65
  6. Step 6: Final answer
    x = 417.39

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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.