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Finding the Fourth Proportional to 1,070.32, 1,605.81 and 522.43

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Solution

The fourth proportional to 1,070.32, 1,605.81 and 522.43 is: 783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.32 : 1,605.81 = 522.43 : x
  2. Step 2: Convert to fraction form
    1,070.32/1,605.81 = 522.43/x
  3. Step 3: Cross multiply
    1,070.32x = 1,605.81 × 522.43
  4. Step 4: Simplify right side
    1,070.32x = 838,923.32
  5. Step 5: Solve for x
    x = 838,923.32/1,070.32
  6. Step 6: Final answer
    x = 783.81

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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.