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Finding the Fourth Proportional to 565.52, 846.60 and 456.40

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Solution

The fourth proportional to 565.52, 846.60 and 456.40 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 846.60 = 456.40 : x
  2. Step 2: Convert to fraction form
    565.52/846.60 = 456.40/x
  3. Step 3: Cross multiply
    565.52x = 846.60 × 456.40
  4. Step 4: Simplify right side
    565.52x = 386,388.24
  5. Step 5: Solve for x
    x = 386,388.24/565.52
  6. Step 6: Final answer
    x = 683.24

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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.