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Finding the Fourth Proportional to 1,442.04, 1,990.06 and 821.24

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Solution

The fourth proportional to 1,442.04, 1,990.06 and 821.24 is: 1,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.04 : 1,990.06 = 821.24 : x
  2. Step 2: Convert to fraction form
    1,442.04/1,990.06 = 821.24/x
  3. Step 3: Cross multiply
    1,442.04x = 1,990.06 × 821.24
  4. Step 4: Simplify right side
    1,442.04x = 1,634,316.87
  5. Step 5: Solve for x
    x = 1,634,316.87/1,442.04
  6. Step 6: Final answer
    x = 1,133.34

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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.