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Finding the Fourth Proportional to 540.40, 736.24 and 540.40

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Solution

The fourth proportional to 540.40, 736.24 and 540.40 is: 736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 736.24 = 540.40 : x
  2. Step 2: Convert to fraction form
    540.40/736.24 = 540.40/x
  3. Step 3: Cross multiply
    540.40x = 736.24 × 540.40
  4. Step 4: Simplify right side
    540.40x = 397,864.10
  5. Step 5: Solve for x
    x = 397,864.10/540.40
  6. Step 6: Final answer
    x = 736.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.