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Finding the Fourth Proportional to 540.16, 740.56 and 530.44

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Solution

The fourth proportional to 540.16, 740.56 and 530.44 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 740.56 = 530.44 : x
  2. Step 2: Convert to fraction form
    540.16/740.56 = 530.44/x
  3. Step 3: Cross multiply
    540.16x = 740.56 × 530.44
  4. Step 4: Simplify right side
    540.16x = 392,822.65
  5. Step 5: Solve for x
    x = 392,822.65/540.16
  6. Step 6: Final answer
    x = 727.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.