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Finding the Fourth Proportional to 1,014.19, 1,399.51 and 572.06

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Solution

The fourth proportional to 1,014.19, 1,399.51 and 572.06 is: 789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.19 : 1,399.51 = 572.06 : x
  2. Step 2: Convert to fraction form
    1,014.19/1,399.51 = 572.06/x
  3. Step 3: Cross multiply
    1,014.19x = 1,399.51 × 572.06
  4. Step 4: Simplify right side
    1,014.19x = 800,607.90
  5. Step 5: Solve for x
    x = 800,607.90/1,014.19
  6. Step 6: Final answer
    x = 789.41

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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.