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Finding the Fourth Proportional to 564.65, 840.68 and 561.90

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Solution

The fourth proportional to 564.65, 840.68 and 561.90 is: 836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 840.68 = 561.90 : x
  2. Step 2: Convert to fraction form
    564.65/840.68 = 561.90/x
  3. Step 3: Cross multiply
    564.65x = 840.68 × 561.90
  4. Step 4: Simplify right side
    564.65x = 472,379.50
  5. Step 5: Solve for x
    x = 472,379.50/564.65
  6. Step 6: Final answer
    x = 836.60

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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.