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Finding the Fourth Proportional to 600.30, 829.17 and 491.13

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Solution

The fourth proportional to 600.30, 829.17 and 491.13 is: 678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 829.17 = 491.13 : x
  2. Step 2: Convert to fraction form
    600.30/829.17 = 491.13/x
  3. Step 3: Cross multiply
    600.30x = 829.17 × 491.13
  4. Step 4: Simplify right side
    600.30x = 407,230.26
  5. Step 5: Solve for x
    x = 407,230.26/600.30
  6. Step 6: Final answer
    x = 678.38

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.