Home / 1,534.12-2,301.18-507.88

Finding the Fourth Proportional to 1,534.12, 2,301.18 and 507.88

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Solution

The fourth proportional to 1,534.12, 2,301.18 and 507.88 is: 761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.12 : 2,301.18 = 507.88 : x
  2. Step 2: Convert to fraction form
    1,534.12/2,301.18 = 507.88/x
  3. Step 3: Cross multiply
    1,534.12x = 2,301.18 × 507.88
  4. Step 4: Simplify right side
    1,534.12x = 1,168,723.30
  5. Step 5: Solve for x
    x = 1,168,723.30/1,534.12
  6. Step 6: Final answer
    x = 761.82

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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.