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Finding the Fourth Proportional to 972.37, 1,341.46 and 658

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Solution

The fourth proportional to 972.37, 1,341.46 and 658 is: 907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.37 : 1,341.46 = 658 : x
  2. Step 2: Convert to fraction form
    972.37/1,341.46 = 658/x
  3. Step 3: Cross multiply
    972.37x = 1,341.46 × 658
  4. Step 4: Simplify right side
    972.37x = 882,680.68
  5. Step 5: Solve for x
    x = 882,680.68/972.37
  6. Step 6: Final answer
    x = 907.76

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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.