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Finding the Fourth Proportional to 564.37, 842.38 and 529.74

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Solution

The fourth proportional to 564.37, 842.38 and 529.74 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.37 : 842.38 = 529.74 : x
  2. Step 2: Convert to fraction form
    564.37/842.38 = 529.74/x
  3. Step 3: Cross multiply
    564.37x = 842.38 × 529.74
  4. Step 4: Simplify right side
    564.37x = 446,241.06
  5. Step 5: Solve for x
    x = 446,241.06/564.37
  6. Step 6: Final answer
    x = 790.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.