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Finding the Fourth Proportional to 540.69, 746.46 and 429.81

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Solution

The fourth proportional to 540.69, 746.46 and 429.81 is: 593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 746.46 = 429.81 : x
  2. Step 2: Convert to fraction form
    540.69/746.46 = 429.81/x
  3. Step 3: Cross multiply
    540.69x = 746.46 × 429.81
  4. Step 4: Simplify right side
    540.69x = 320,835.97
  5. Step 5: Solve for x
    x = 320,835.97/540.69
  6. Step 6: Final answer
    x = 593.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 541.69, 747.84 and 430.81
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.