Home / 1,309.24-1,962.63-442.95

Finding the Fourth Proportional to 1,309.24, 1,962.63 and 442.95

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Solution

The fourth proportional to 1,309.24, 1,962.63 and 442.95 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.24 : 1,962.63 = 442.95 : x
  2. Step 2: Convert to fraction form
    1,309.24/1,962.63 = 442.95/x
  3. Step 3: Cross multiply
    1,309.24x = 1,962.63 × 442.95
  4. Step 4: Simplify right side
    1,309.24x = 869,346.96
  5. Step 5: Solve for x
    x = 869,346.96/1,309.24
  6. Step 6: Final answer
    x = 664.01

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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.