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Finding the Fourth Proportional to 751.77, 1,037.26 and 457.03

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Solution

The fourth proportional to 751.77, 1,037.26 and 457.03 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.77 : 1,037.26 = 457.03 : x
  2. Step 2: Convert to fraction form
    751.77/1,037.26 = 457.03/x
  3. Step 3: Cross multiply
    751.77x = 1,037.26 × 457.03
  4. Step 4: Simplify right side
    751.77x = 474,058.94
  5. Step 5: Solve for x
    x = 474,058.94/751.77
  6. Step 6: Final answer
    x = 630.59

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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.