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Finding the Fourth Proportional to 669.35, 924.13 and 433.42

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Solution

The fourth proportional to 669.35, 924.13 and 433.42 is: 598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 924.13 = 433.42 : x
  2. Step 2: Convert to fraction form
    669.35/924.13 = 433.42/x
  3. Step 3: Cross multiply
    669.35x = 924.13 × 433.42
  4. Step 4: Simplify right side
    669.35x = 400,534.66
  5. Step 5: Solve for x
    x = 400,534.66/669.35
  6. Step 6: Final answer
    x = 598.39

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Half scale
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Double scale
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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.