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Finding the Fourth Proportional to 565.90, 846.68 and 309.58

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Solution

The fourth proportional to 565.90, 846.68 and 309.58 is: 463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 846.68 = 309.58 : x
  2. Step 2: Convert to fraction form
    565.90/846.68 = 309.58/x
  3. Step 3: Cross multiply
    565.90x = 846.68 × 309.58
  4. Step 4: Simplify right side
    565.90x = 262,115.19
  5. Step 5: Solve for x
    x = 262,115.19/565.90
  6. Step 6: Final answer
    x = 463.18

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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.