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Finding the Fourth Proportional to 586.81, 880.34 and 278.51

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Solution

The fourth proportional to 586.81, 880.34 and 278.51 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 880.34 = 278.51 : x
  2. Step 2: Convert to fraction form
    586.81/880.34 = 278.51/x
  3. Step 3: Cross multiply
    586.81x = 880.34 × 278.51
  4. Step 4: Simplify right side
    586.81x = 245,177.70
  5. Step 5: Solve for x
    x = 245,177.70/586.81
  6. Step 6: Final answer
    x = 417.81

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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.