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Finding the Fourth Proportional to 5.53, 7.64 and 4.62

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Solution

The fourth proportional to 5.53, 7.64 and 4.62 is: 6.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.53 : 7.64 = 4.62 : x
  2. Step 2: Convert to fraction form
    5.53/7.64 = 4.62/x
  3. Step 3: Cross multiply
    5.53x = 7.64 × 4.62
  4. Step 4: Simplify right side
    5.53x = 35.30
  5. Step 5: Solve for x
    x = 35.30/5.53
  6. Step 6: Final answer
    x = 6.38

Related Problems

Find fourth proportional to 2.77, 3.82 and 2.31
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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.