Home / 1,526.50-2,289.75-614.50

Finding the Fourth Proportional to 1,526.50, 2,289.75 and 614.50

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Solution

The fourth proportional to 1,526.50, 2,289.75 and 614.50 is: 921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.50 : 2,289.75 = 614.50 : x
  2. Step 2: Convert to fraction form
    1,526.50/2,289.75 = 614.50/x
  3. Step 3: Cross multiply
    1,526.50x = 2,289.75 × 614.50
  4. Step 4: Simplify right side
    1,526.50x = 1,407,051.38
  5. Step 5: Solve for x
    x = 1,407,051.38/1,526.50
  6. Step 6: Final answer
    x = 921.75

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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.