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Finding the Fourth Proportional to 772.57, 1,065.86 and 595.58

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Solution

The fourth proportional to 772.57, 1,065.86 and 595.58 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,065.86 = 595.58 : x
  2. Step 2: Convert to fraction form
    772.57/1,065.86 = 595.58/x
  3. Step 3: Cross multiply
    772.57x = 1,065.86 × 595.58
  4. Step 4: Simplify right side
    772.57x = 634,804.90
  5. Step 5: Solve for x
    x = 634,804.90/772.57
  6. Step 6: Final answer
    x = 821.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.