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Finding the Fourth Proportional to 1,438.47, 1,984.95 and 808.90

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Solution

The fourth proportional to 1,438.47, 1,984.95 and 808.90 is: 1,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.47 : 1,984.95 = 808.90 : x
  2. Step 2: Convert to fraction form
    1,438.47/1,984.95 = 808.90/x
  3. Step 3: Cross multiply
    1,438.47x = 1,984.95 × 808.90
  4. Step 4: Simplify right side
    1,438.47x = 1,605,623.02
  5. Step 5: Solve for x
    x = 1,605,623.02/1,438.47
  6. Step 6: Final answer
    x = 1,116.20

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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.