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Finding the Fourth Proportional to 500.91, 689.61 and 435.39

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Solution

The fourth proportional to 500.91, 689.61 and 435.39 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 689.61 = 435.39 : x
  2. Step 2: Convert to fraction form
    500.91/689.61 = 435.39/x
  3. Step 3: Cross multiply
    500.91x = 689.61 × 435.39
  4. Step 4: Simplify right side
    500.91x = 300,248.34
  5. Step 5: Solve for x
    x = 300,248.34/500.91
  6. Step 6: Final answer
    x = 599.41

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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.