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Finding the Fourth Proportional to 565.46, 846.98 and 410.64

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Solution

The fourth proportional to 565.46, 846.98 and 410.64 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 846.98 = 410.64 : x
  2. Step 2: Convert to fraction form
    565.46/846.98 = 410.64/x
  3. Step 3: Cross multiply
    565.46x = 846.98 × 410.64
  4. Step 4: Simplify right side
    565.46x = 347,803.87
  5. Step 5: Solve for x
    x = 347,803.87/565.46
  6. Step 6: Final answer
    x = 615.08

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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.