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Finding the Fourth Proportional to 1,283.28, 1,925.22 and 417.60

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Solution

The fourth proportional to 1,283.28, 1,925.22 and 417.60 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.28 : 1,925.22 = 417.60 : x
  2. Step 2: Convert to fraction form
    1,283.28/1,925.22 = 417.60/x
  3. Step 3: Cross multiply
    1,283.28x = 1,925.22 × 417.60
  4. Step 4: Simplify right side
    1,283.28x = 803,971.87
  5. Step 5: Solve for x
    x = 803,971.87/1,283.28
  6. Step 6: Final answer
    x = 626.50

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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.