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Finding the Fourth Proportional to 1,014.40, 1,424 and 1,014.40

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Solution

The fourth proportional to 1,014.40, 1,424 and 1,014.40 is: 1,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,424 = 1,014.40 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,424 = 1,014.40/x
  3. Step 3: Cross multiply
    1,014.40x = 1,424 × 1,014.40
  4. Step 4: Simplify right side
    1,014.40x = 1,444,505.60
  5. Step 5: Solve for x
    x = 1,444,505.60/1,014.40
  6. Step 6: Final answer
    x = 1,424

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.