Home / 1,507.04-2,261.34-814.28

Finding the Fourth Proportional to 1,507.04, 2,261.34 and 814.28

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Solution

The fourth proportional to 1,507.04, 2,261.34 and 814.28 is: 1,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.04 : 2,261.34 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,507.04/2,261.34 = 814.28/x
  3. Step 3: Cross multiply
    1,507.04x = 2,261.34 × 814.28
  4. Step 4: Simplify right side
    1,507.04x = 1,841,363.94
  5. Step 5: Solve for x
    x = 1,841,363.94/1,507.04
  6. Step 6: Final answer
    x = 1,221.84

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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.