Home / 1,526.14-2,289.57-430.46

Finding the Fourth Proportional to 1,526.14, 2,289.57 and 430.46

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Solution

The fourth proportional to 1,526.14, 2,289.57 and 430.46 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.14 : 2,289.57 = 430.46 : x
  2. Step 2: Convert to fraction form
    1,526.14/2,289.57 = 430.46/x
  3. Step 3: Cross multiply
    1,526.14x = 2,289.57 × 430.46
  4. Step 4: Simplify right side
    1,526.14x = 985,576.70
  5. Step 5: Solve for x
    x = 985,576.70/1,526.14
  6. Step 6: Final answer
    x = 645.80

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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.