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Finding the Fourth Proportional to 564.90, 845.91 and 307.86

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Solution

The fourth proportional to 564.90, 845.91 and 307.86 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 845.91 = 307.86 : x
  2. Step 2: Convert to fraction form
    564.90/845.91 = 307.86/x
  3. Step 3: Cross multiply
    564.90x = 845.91 × 307.86
  4. Step 4: Simplify right side
    564.90x = 260,421.85
  5. Step 5: Solve for x
    x = 260,421.85/564.90
  6. Step 6: Final answer
    x = 461.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.