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Finding the Fourth Proportional to 1,362.48, 1,880.36 and 803.12

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Solution

The fourth proportional to 1,362.48, 1,880.36 and 803.12 is: 1,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.48 : 1,880.36 = 803.12 : x
  2. Step 2: Convert to fraction form
    1,362.48/1,880.36 = 803.12/x
  3. Step 3: Cross multiply
    1,362.48x = 1,880.36 × 803.12
  4. Step 4: Simplify right side
    1,362.48x = 1,510,154.72
  5. Step 5: Solve for x
    x = 1,510,154.72/1,362.48
  6. Step 6: Final answer
    x = 1,108.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.