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Finding the Fourth Proportional to 547.07, 754.45 and 407.53

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Solution

The fourth proportional to 547.07, 754.45 and 407.53 is: 562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 754.45 = 407.53 : x
  2. Step 2: Convert to fraction form
    547.07/754.45 = 407.53/x
  3. Step 3: Cross multiply
    547.07x = 754.45 × 407.53
  4. Step 4: Simplify right side
    547.07x = 307,461.01
  5. Step 5: Solve for x
    x = 307,461.01/547.07
  6. Step 6: Final answer
    x = 562.01

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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.