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Finding the Fourth Proportional to 462.93, 693.71 and 428.76

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Solution

The fourth proportional to 462.93, 693.71 and 428.76 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 693.71 = 428.76 : x
  2. Step 2: Convert to fraction form
    462.93/693.71 = 428.76/x
  3. Step 3: Cross multiply
    462.93x = 693.71 × 428.76
  4. Step 4: Simplify right side
    462.93x = 297,436.98
  5. Step 5: Solve for x
    x = 297,436.98/462.93
  6. Step 6: Final answer
    x = 642.51

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1.5x scale

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.