Home / 1,526.89-2,289.30-539.47

Finding the Fourth Proportional to 1,526.89, 2,289.30 and 539.47

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Solution

The fourth proportional to 1,526.89, 2,289.30 and 539.47 is: 808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.89 : 2,289.30 = 539.47 : x
  2. Step 2: Convert to fraction form
    1,526.89/2,289.30 = 539.47/x
  3. Step 3: Cross multiply
    1,526.89x = 2,289.30 × 539.47
  4. Step 4: Simplify right side
    1,526.89x = 1,235,008.67
  5. Step 5: Solve for x
    x = 1,235,008.67/1,526.89
  6. Step 6: Final answer
    x = 808.84

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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.