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Finding the Fourth Proportional to 1,507.74, 2,278.68 and 1,507.74

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Solution

The fourth proportional to 1,507.74, 2,278.68 and 1,507.74 is: 2,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.74 : 2,278.68 = 1,507.74 : x
  2. Step 2: Convert to fraction form
    1,507.74/2,278.68 = 1,507.74/x
  3. Step 3: Cross multiply
    1,507.74x = 2,278.68 × 1,507.74
  4. Step 4: Simplify right side
    1,507.74x = 3,435,656.98
  5. Step 5: Solve for x
    x = 3,435,656.98/1,507.74
  6. Step 6: Final answer
    x = 2,278.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.