Home / 1,307.43-1,961.19-430.07

Finding the Fourth Proportional to 1,307.43, 1,961.19 and 430.07

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Solution

The fourth proportional to 1,307.43, 1,961.19 and 430.07 is: 645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.43 : 1,961.19 = 430.07 : x
  2. Step 2: Convert to fraction form
    1,307.43/1,961.19 = 430.07/x
  3. Step 3: Cross multiply
    1,307.43x = 1,961.19 × 430.07
  4. Step 4: Simplify right side
    1,307.43x = 843,439.18
  5. Step 5: Solve for x
    x = 843,439.18/1,307.43
  6. Step 6: Final answer
    x = 645.11

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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.