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Finding the Fourth Proportional to 773.55, 1,064.34 and 598.59

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Solution

The fourth proportional to 773.55, 1,064.34 and 598.59 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.55 : 1,064.34 = 598.59 : x
  2. Step 2: Convert to fraction form
    773.55/1,064.34 = 598.59/x
  3. Step 3: Cross multiply
    773.55x = 1,064.34 × 598.59
  4. Step 4: Simplify right side
    773.55x = 637,103.28
  5. Step 5: Solve for x
    x = 637,103.28/773.55
  6. Step 6: Final answer
    x = 823.61

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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.