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Finding the Fourth Proportional to 1,283.12, 1,924.98 and 417.43

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Solution

The fourth proportional to 1,283.12, 1,924.98 and 417.43 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.12 : 1,924.98 = 417.43 : x
  2. Step 2: Convert to fraction form
    1,283.12/1,924.98 = 417.43/x
  3. Step 3: Cross multiply
    1,283.12x = 1,924.98 × 417.43
  4. Step 4: Simplify right side
    1,283.12x = 803,544.40
  5. Step 5: Solve for x
    x = 803,544.40/1,283.12
  6. Step 6: Final answer
    x = 626.24

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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.