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Finding the Fourth Proportional to 1,314.28, 1,970.16 and 583.78

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Solution

The fourth proportional to 1,314.28, 1,970.16 and 583.78 is: 875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.28 : 1,970.16 = 583.78 : x
  2. Step 2: Convert to fraction form
    1,314.28/1,970.16 = 583.78/x
  3. Step 3: Cross multiply
    1,314.28x = 1,970.16 × 583.78
  4. Step 4: Simplify right side
    1,314.28x = 1,150,140.00
  5. Step 5: Solve for x
    x = 1,150,140.00/1,314.28
  6. Step 6: Final answer
    x = 875.11

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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.