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Finding the Fourth Proportional to 975.50, 1,463.76 and 428.07

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Solution

The fourth proportional to 975.50, 1,463.76 and 428.07 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.50 : 1,463.76 = 428.07 : x
  2. Step 2: Convert to fraction form
    975.50/1,463.76 = 428.07/x
  3. Step 3: Cross multiply
    975.50x = 1,463.76 × 428.07
  4. Step 4: Simplify right side
    975.50x = 626,591.74
  5. Step 5: Solve for x
    x = 626,591.74/975.50
  6. Step 6: Final answer
    x = 642.33

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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.