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Finding the Fourth Proportional to 1,068.20, 1,602.30 and 521.45

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Solution

The fourth proportional to 1,068.20, 1,602.30 and 521.45 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.20 : 1,602.30 = 521.45 : x
  2. Step 2: Convert to fraction form
    1,068.20/1,602.30 = 521.45/x
  3. Step 3: Cross multiply
    1,068.20x = 1,602.30 × 521.45
  4. Step 4: Simplify right side
    1,068.20x = 835,519.34
  5. Step 5: Solve for x
    x = 835,519.34/1,068.20
  6. Step 6: Final answer
    x = 782.18

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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.