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Finding the Fourth Proportional to 564.99, 847.59 and 390.03

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Solution

The fourth proportional to 564.99, 847.59 and 390.03 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.99 : 847.59 = 390.03 : x
  2. Step 2: Convert to fraction form
    564.99/847.59 = 390.03/x
  3. Step 3: Cross multiply
    564.99x = 847.59 × 390.03
  4. Step 4: Simplify right side
    564.99x = 330,585.53
  5. Step 5: Solve for x
    x = 330,585.53/564.99
  6. Step 6: Final answer
    x = 585.12

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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.