Home / 1,526.23-2,288.88-648.72

Finding the Fourth Proportional to 1,526.23, 2,288.88 and 648.72

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Solution

The fourth proportional to 1,526.23, 2,288.88 and 648.72 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.23 : 2,288.88 = 648.72 : x
  2. Step 2: Convert to fraction form
    1,526.23/2,288.88 = 648.72/x
  3. Step 3: Cross multiply
    1,526.23x = 2,288.88 × 648.72
  4. Step 4: Simplify right side
    1,526.23x = 1,484,837.94
  5. Step 5: Solve for x
    x = 1,484,837.94/1,526.23
  6. Step 6: Final answer
    x = 972.88

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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.