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Finding the Fourth Proportional to 946.50, 1,418.74 and 458.48

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Solution

The fourth proportional to 946.50, 1,418.74 and 458.48 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,418.74 = 458.48 : x
  2. Step 2: Convert to fraction form
    946.50/1,418.74 = 458.48/x
  3. Step 3: Cross multiply
    946.50x = 1,418.74 × 458.48
  4. Step 4: Simplify right side
    946.50x = 650,463.92
  5. Step 5: Solve for x
    x = 650,463.92/946.50
  6. Step 6: Final answer
    x = 687.23

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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.