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Finding the Fourth Proportional to 1,071.06, 1,605.31 and 521.98

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Solution

The fourth proportional to 1,071.06, 1,605.31 and 521.98 is: 782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.06 : 1,605.31 = 521.98 : x
  2. Step 2: Convert to fraction form
    1,071.06/1,605.31 = 521.98/x
  3. Step 3: Cross multiply
    1,071.06x = 1,605.31 × 521.98
  4. Step 4: Simplify right side
    1,071.06x = 837,934.40
  5. Step 5: Solve for x
    x = 837,934.40/1,071.06
  6. Step 6: Final answer
    x = 782.34

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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.