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Finding the Fourth Proportional to 1,283.21, 1,924.76 and 417.53

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Solution

The fourth proportional to 1,283.21, 1,924.76 and 417.53 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.21 : 1,924.76 = 417.53 : x
  2. Step 2: Convert to fraction form
    1,283.21/1,924.76 = 417.53/x
  3. Step 3: Cross multiply
    1,283.21x = 1,924.76 × 417.53
  4. Step 4: Simplify right side
    1,283.21x = 803,633.33
  5. Step 5: Solve for x
    x = 803,633.33/1,283.21
  6. Step 6: Final answer
    x = 626.27

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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.