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Finding the Fourth Proportional to 565.40, 847.28 and 359.45

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Solution

The fourth proportional to 565.40, 847.28 and 359.45 is: 538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 847.28 = 359.45 : x
  2. Step 2: Convert to fraction form
    565.40/847.28 = 359.45/x
  3. Step 3: Cross multiply
    565.40x = 847.28 × 359.45
  4. Step 4: Simplify right side
    565.40x = 304,548.76
  5. Step 5: Solve for x
    x = 304,548.76/565.40
  6. Step 6: Final answer
    x = 538.65

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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.