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Finding the Fourth Proportional to 535.72, 740 and 369.64

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Solution

The fourth proportional to 535.72, 740 and 369.64 is: 510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 740 = 369.64 : x
  2. Step 2: Convert to fraction form
    535.72/740 = 369.64/x
  3. Step 3: Cross multiply
    535.72x = 740 × 369.64
  4. Step 4: Simplify right side
    535.72x = 273,533.60
  5. Step 5: Solve for x
    x = 273,533.60/535.72
  6. Step 6: Final answer
    x = 510.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.