Home / 1,287.39-1,931.40-465.72

Finding the Fourth Proportional to 1,287.39, 1,931.40 and 465.72

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Solution

The fourth proportional to 1,287.39, 1,931.40 and 465.72 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.39 : 1,931.40 = 465.72 : x
  2. Step 2: Convert to fraction form
    1,287.39/1,931.40 = 465.72/x
  3. Step 3: Cross multiply
    1,287.39x = 1,931.40 × 465.72
  4. Step 4: Simplify right side
    1,287.39x = 899,491.61
  5. Step 5: Solve for x
    x = 899,491.61/1,287.39
  6. Step 6: Final answer
    x = 698.69

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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.