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Finding the Fourth Proportional to 1,068.14, 1,602.21 and 520.17

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Solution

The fourth proportional to 1,068.14, 1,602.21 and 520.17 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.14 : 1,602.21 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,068.14/1,602.21 = 520.17/x
  3. Step 3: Cross multiply
    1,068.14x = 1,602.21 × 520.17
  4. Step 4: Simplify right side
    1,068.14x = 833,422.14
  5. Step 5: Solve for x
    x = 833,422.14/1,068.14
  6. Step 6: Final answer
    x = 780.26

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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.