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Finding the Fourth Proportional to 1,525.89, 2,287.80 and 538.47

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Solution

The fourth proportional to 1,525.89, 2,287.80 and 538.47 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.89 : 2,287.80 = 538.47 : x
  2. Step 2: Convert to fraction form
    1,525.89/2,287.80 = 538.47/x
  3. Step 3: Cross multiply
    1,525.89x = 2,287.80 × 538.47
  4. Step 4: Simplify right side
    1,525.89x = 1,231,911.67
  5. Step 5: Solve for x
    x = 1,231,911.67/1,525.89
  6. Step 6: Final answer
    x = 807.34

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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.