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Finding the Fourth Proportional to 586.77, 880.58 and 278.62

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Solution

The fourth proportional to 586.77, 880.58 and 278.62 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.77 : 880.58 = 278.62 : x
  2. Step 2: Convert to fraction form
    586.77/880.58 = 278.62/x
  3. Step 3: Cross multiply
    586.77x = 880.58 × 278.62
  4. Step 4: Simplify right side
    586.77x = 245,347.20
  5. Step 5: Solve for x
    x = 245,347.20/586.77
  6. Step 6: Final answer
    x = 418.13

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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.