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Finding the Fourth Proportional to 1,071.14, 1,606.10 and 522.63

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Solution

The fourth proportional to 1,071.14, 1,606.10 and 522.63 is: 783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.14 : 1,606.10 = 522.63 : x
  2. Step 2: Convert to fraction form
    1,071.14/1,606.10 = 522.63/x
  3. Step 3: Cross multiply
    1,071.14x = 1,606.10 × 522.63
  4. Step 4: Simplify right side
    1,071.14x = 839,393.43
  5. Step 5: Solve for x
    x = 839,393.43/1,071.14
  6. Step 6: Final answer
    x = 783.65

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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.