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Finding the Fourth Proportional to 628.13, 937.59 and 583.09

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Solution

The fourth proportional to 628.13, 937.59 and 583.09 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 937.59 = 583.09 : x
  2. Step 2: Convert to fraction form
    628.13/937.59 = 583.09/x
  3. Step 3: Cross multiply
    628.13x = 937.59 × 583.09
  4. Step 4: Simplify right side
    628.13x = 546,699.35
  5. Step 5: Solve for x
    x = 546,699.35/628.13
  6. Step 6: Final answer
    x = 870.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.