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Finding the Fourth Proportional to 566.34, 847.59 and 322.50

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Solution

The fourth proportional to 566.34, 847.59 and 322.50 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 847.59 = 322.50 : x
  2. Step 2: Convert to fraction form
    566.34/847.59 = 322.50/x
  3. Step 3: Cross multiply
    566.34x = 847.59 × 322.50
  4. Step 4: Simplify right side
    566.34x = 273,347.78
  5. Step 5: Solve for x
    x = 273,347.78/566.34
  6. Step 6: Final answer
    x = 482.66

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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.