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Finding the Fourth Proportional to 500.20, 690.66 and 345.64

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Solution

The fourth proportional to 500.20, 690.66 and 345.64 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 690.66 = 345.64 : x
  2. Step 2: Convert to fraction form
    500.20/690.66 = 345.64/x
  3. Step 3: Cross multiply
    500.20x = 690.66 × 345.64
  4. Step 4: Simplify right side
    500.20x = 238,719.72
  5. Step 5: Solve for x
    x = 238,719.72/500.20
  6. Step 6: Final answer
    x = 477.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.