Home / 1,526.07-2,289.12-430.46

Finding the Fourth Proportional to 1,526.07, 2,289.12 and 430.46

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Solution

The fourth proportional to 1,526.07, 2,289.12 and 430.46 is: 645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.07 : 2,289.12 = 430.46 : x
  2. Step 2: Convert to fraction form
    1,526.07/2,289.12 = 430.46/x
  3. Step 3: Cross multiply
    1,526.07x = 2,289.12 × 430.46
  4. Step 4: Simplify right side
    1,526.07x = 985,374.60
  5. Step 5: Solve for x
    x = 985,374.60/1,526.07
  6. Step 6: Final answer
    x = 645.69

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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.