Home / 1,287.46-1,931.19-465.13

Finding the Fourth Proportional to 1,287.46, 1,931.19 and 465.13

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Solution

The fourth proportional to 1,287.46, 1,931.19 and 465.13 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.46 : 1,931.19 = 465.13 : x
  2. Step 2: Convert to fraction form
    1,287.46/1,931.19 = 465.13/x
  3. Step 3: Cross multiply
    1,287.46x = 1,931.19 × 465.13
  4. Step 4: Simplify right side
    1,287.46x = 898,254.40
  5. Step 5: Solve for x
    x = 898,254.40/1,287.46
  6. Step 6: Final answer
    x = 697.70

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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.