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Finding the Fourth Proportional to 586.90, 880.14 and 278.68

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Solution

The fourth proportional to 586.90, 880.14 and 278.68 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 880.14 = 278.68 : x
  2. Step 2: Convert to fraction form
    586.90/880.14 = 278.68/x
  3. Step 3: Cross multiply
    586.90x = 880.14 × 278.68
  4. Step 4: Simplify right side
    586.90x = 245,277.42
  5. Step 5: Solve for x
    x = 245,277.42/586.90
  6. Step 6: Final answer
    x = 417.92

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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.