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Finding the Fourth Proportional to 1,507.68, 2,259.20 and 814.48

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Solution

The fourth proportional to 1,507.68, 2,259.20 and 814.48 is: 1,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.68 : 2,259.20 = 814.48 : x
  2. Step 2: Convert to fraction form
    1,507.68/2,259.20 = 814.48/x
  3. Step 3: Cross multiply
    1,507.68x = 2,259.20 × 814.48
  4. Step 4: Simplify right side
    1,507.68x = 1,840,073.22
  5. Step 5: Solve for x
    x = 1,840,073.22/1,507.68
  6. Step 6: Final answer
    x = 1,220.47

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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.