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Finding the Fourth Proportional to 1,019.76, 1,530.26 and 442.64

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Solution

The fourth proportional to 1,019.76, 1,530.26 and 442.64 is: 664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.76 : 1,530.26 = 442.64 : x
  2. Step 2: Convert to fraction form
    1,019.76/1,530.26 = 442.64/x
  3. Step 3: Cross multiply
    1,019.76x = 1,530.26 × 442.64
  4. Step 4: Simplify right side
    1,019.76x = 677,344.42
  5. Step 5: Solve for x
    x = 677,344.42/1,019.76
  6. Step 6: Final answer
    x = 664.22

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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.