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Finding the Fourth Proportional to 565.19, 847.35 and 359.72

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Solution

The fourth proportional to 565.19, 847.35 and 359.72 is: 539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.19 : 847.35 = 359.72 : x
  2. Step 2: Convert to fraction form
    565.19/847.35 = 359.72/x
  3. Step 3: Cross multiply
    565.19x = 847.35 × 359.72
  4. Step 4: Simplify right side
    565.19x = 304,804.51
  5. Step 5: Solve for x
    x = 304,804.51/565.19
  6. Step 6: Final answer
    x = 539.30

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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.