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Finding the Fourth Proportional to 586.93, 880.78 and 313.22

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Solution

The fourth proportional to 586.93, 880.78 and 313.22 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.93 : 880.78 = 313.22 : x
  2. Step 2: Convert to fraction form
    586.93/880.78 = 313.22/x
  3. Step 3: Cross multiply
    586.93x = 880.78 × 313.22
  4. Step 4: Simplify right side
    586.93x = 275,877.91
  5. Step 5: Solve for x
    x = 275,877.91/586.93
  6. Step 6: Final answer
    x = 470.04

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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.