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Finding the Fourth Proportional to 540.83, 746.32 and 304.78

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Solution

The fourth proportional to 540.83, 746.32 and 304.78 is: 420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.83 : 746.32 = 304.78 : x
  2. Step 2: Convert to fraction form
    540.83/746.32 = 304.78/x
  3. Step 3: Cross multiply
    540.83x = 746.32 × 304.78
  4. Step 4: Simplify right side
    540.83x = 227,463.41
  5. Step 5: Solve for x
    x = 227,463.41/540.83
  6. Step 6: Final answer
    x = 420.58

Related Problems

Find fourth proportional to 270.42, 373.16 and 152.39
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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.