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Finding the Fourth Proportional to 564.92, 842.40 and 525.98

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Solution

The fourth proportional to 564.92, 842.40 and 525.98 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 842.40 = 525.98 : x
  2. Step 2: Convert to fraction form
    564.92/842.40 = 525.98/x
  3. Step 3: Cross multiply
    564.92x = 842.40 × 525.98
  4. Step 4: Simplify right side
    564.92x = 443,081.34
  5. Step 5: Solve for x
    x = 443,081.34/564.92
  6. Step 6: Final answer
    x = 784.33

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