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Finding the Fourth Proportional to 1,019.48, 1,528.98 and 442.76

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Solution

The fourth proportional to 1,019.48, 1,528.98 and 442.76 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.48 : 1,528.98 = 442.76 : x
  2. Step 2: Convert to fraction form
    1,019.48/1,528.98 = 442.76/x
  3. Step 3: Cross multiply
    1,019.48x = 1,528.98 × 442.76
  4. Step 4: Simplify right side
    1,019.48x = 676,971.18
  5. Step 5: Solve for x
    x = 676,971.18/1,019.48
  6. Step 6: Final answer
    x = 664.04

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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.