Home / 1,526.16-2,289.28-430.60

Finding the Fourth Proportional to 1,526.16, 2,289.28 and 430.60

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Solution

The fourth proportional to 1,526.16, 2,289.28 and 430.60 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.16 : 2,289.28 = 430.60 : x
  2. Step 2: Convert to fraction form
    1,526.16/2,289.28 = 430.60/x
  3. Step 3: Cross multiply
    1,526.16x = 2,289.28 × 430.60
  4. Step 4: Simplify right side
    1,526.16x = 985,763.97
  5. Step 5: Solve for x
    x = 985,763.97/1,526.16
  6. Step 6: Final answer
    x = 645.91

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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.