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Finding the Fourth Proportional to 658, 985.74 and 619.87

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Solution

The fourth proportional to 658, 985.74 and 619.87 is: 928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    658 : 985.74 = 619.87 : x
  2. Step 2: Convert to fraction form
    658/985.74 = 619.87/x
  3. Step 3: Cross multiply
    658x = 985.74 × 619.87
  4. Step 4: Simplify right side
    658x = 611,030.65
  5. Step 5: Solve for x
    x = 611,030.65/658
  6. Step 6: Final answer
    x = 928.62

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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.