Home / 1,308.19-1,962.07-430.70

Finding the Fourth Proportional to 1,308.19, 1,962.07 and 430.70

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Solution

The fourth proportional to 1,308.19, 1,962.07 and 430.70 is: 645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.19 : 1,962.07 = 430.70 : x
  2. Step 2: Convert to fraction form
    1,308.19/1,962.07 = 430.70/x
  3. Step 3: Cross multiply
    1,308.19x = 1,962.07 × 430.70
  4. Step 4: Simplify right side
    1,308.19x = 845,067.38
  5. Step 5: Solve for x
    x = 845,067.38/1,308.19
  6. Step 6: Final answer
    x = 645.98

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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.