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Finding the Fourth Proportional to 537.64, 741.90 and 304.76

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Solution

The fourth proportional to 537.64, 741.90 and 304.76 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 741.90 = 304.76 : x
  2. Step 2: Convert to fraction form
    537.64/741.90 = 304.76/x
  3. Step 3: Cross multiply
    537.64x = 741.90 × 304.76
  4. Step 4: Simplify right side
    537.64x = 226,101.44
  5. Step 5: Solve for x
    x = 226,101.44/537.64
  6. Step 6: Final answer
    x = 420.54

Related Problems

Find fourth proportional to 268.82, 370.95 and 152.38
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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.