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Finding the Fourth Proportional to 1,016.92, 1,402.95 and 623.80

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Solution

The fourth proportional to 1,016.92, 1,402.95 and 623.80 is: 860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.92 : 1,402.95 = 623.80 : x
  2. Step 2: Convert to fraction form
    1,016.92/1,402.95 = 623.80/x
  3. Step 3: Cross multiply
    1,016.92x = 1,402.95 × 623.80
  4. Step 4: Simplify right side
    1,016.92x = 875,160.21
  5. Step 5: Solve for x
    x = 875,160.21/1,016.92
  6. Step 6: Final answer
    x = 860.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.