Home / 1,478.12-2,214.27-697.01

Finding the Fourth Proportional to 1,478.12, 2,214.27 and 697.01

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Solution

The fourth proportional to 1,478.12, 2,214.27 and 697.01 is: 1,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.12 : 2,214.27 = 697.01 : x
  2. Step 2: Convert to fraction form
    1,478.12/2,214.27 = 697.01/x
  3. Step 3: Cross multiply
    1,478.12x = 2,214.27 × 697.01
  4. Step 4: Simplify right side
    1,478.12x = 1,543,357.26
  5. Step 5: Solve for x
    x = 1,543,357.26/1,478.12
  6. Step 6: Final answer
    x = 1,044.14

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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.