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Finding the Fourth Proportional to 586.87, 880.70 and 313.15

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Solution

The fourth proportional to 586.87, 880.70 and 313.15 is: 469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.87 : 880.70 = 313.15 : x
  2. Step 2: Convert to fraction form
    586.87/880.70 = 313.15/x
  3. Step 3: Cross multiply
    586.87x = 880.70 × 313.15
  4. Step 4: Simplify right side
    586.87x = 275,787.44
  5. Step 5: Solve for x
    x = 275,787.44/586.87
  6. Step 6: Final answer
    x = 469.93

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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.