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Finding the Fourth Proportional to 492.70, 679.58 and 317.88

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Solution

The fourth proportional to 492.70, 679.58 and 317.88 is: 438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 679.58 = 317.88 : x
  2. Step 2: Convert to fraction form
    492.70/679.58 = 317.88/x
  3. Step 3: Cross multiply
    492.70x = 679.58 × 317.88
  4. Step 4: Simplify right side
    492.70x = 216,024.89
  5. Step 5: Solve for x
    x = 216,024.89/492.70
  6. Step 6: Final answer
    x = 438.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.