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Finding the Fourth Proportional to 1,059.23, 1,587.31 and 510.77

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Solution

The fourth proportional to 1,059.23, 1,587.31 and 510.77 is: 765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.23 : 1,587.31 = 510.77 : x
  2. Step 2: Convert to fraction form
    1,059.23/1,587.31 = 510.77/x
  3. Step 3: Cross multiply
    1,059.23x = 1,587.31 × 510.77
  4. Step 4: Simplify right side
    1,059.23x = 810,753.02
  5. Step 5: Solve for x
    x = 810,753.02/1,059.23
  6. Step 6: Final answer
    x = 765.42

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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.