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Finding the Fourth Proportional to 600.61, 829.17 and 405.16

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Solution

The fourth proportional to 600.61, 829.17 and 405.16 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.61 : 829.17 = 405.16 : x
  2. Step 2: Convert to fraction form
    600.61/829.17 = 405.16/x
  3. Step 3: Cross multiply
    600.61x = 829.17 × 405.16
  4. Step 4: Simplify right side
    600.61x = 335,946.52
  5. Step 5: Solve for x
    x = 335,946.52/600.61
  6. Step 6: Final answer
    x = 559.34

Related Problems

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Double scale
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Similar ratio
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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.