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Finding the Fourth Proportional to 1,005.16, 1,507.71 and 347.49

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Solution

The fourth proportional to 1,005.16, 1,507.71 and 347.49 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.16 : 1,507.71 = 347.49 : x
  2. Step 2: Convert to fraction form
    1,005.16/1,507.71 = 347.49/x
  3. Step 3: Cross multiply
    1,005.16x = 1,507.71 × 347.49
  4. Step 4: Simplify right side
    1,005.16x = 523,914.15
  5. Step 5: Solve for x
    x = 523,914.15/1,005.16
  6. Step 6: Final answer
    x = 521.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.