Home / 1,538.24-2,307.40-498.22

Finding the Fourth Proportional to 1,538.24, 2,307.40 and 498.22

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Solution

The fourth proportional to 1,538.24, 2,307.40 and 498.22 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,307.40 = 498.22 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,307.40 = 498.22/x
  3. Step 3: Cross multiply
    1,538.24x = 2,307.40 × 498.22
  4. Step 4: Simplify right side
    1,538.24x = 1,149,592.83
  5. Step 5: Solve for x
    x = 1,149,592.83/1,538.24
  6. Step 6: Final answer
    x = 747.34

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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.