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Finding the Fourth Proportional to 564.95, 846.15 and 390.83

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Solution

The fourth proportional to 564.95, 846.15 and 390.83 is: 585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 846.15 = 390.83 : x
  2. Step 2: Convert to fraction form
    564.95/846.15 = 390.83/x
  3. Step 3: Cross multiply
    564.95x = 846.15 × 390.83
  4. Step 4: Simplify right side
    564.95x = 330,699.87
  5. Step 5: Solve for x
    x = 330,699.87/564.95
  6. Step 6: Final answer
    x = 585.36

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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.