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Finding the Fourth Proportional to 628.24, 937.75 and 583.19

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Solution

The fourth proportional to 628.24, 937.75 and 583.19 is: 870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 937.75 = 583.19 : x
  2. Step 2: Convert to fraction form
    628.24/937.75 = 583.19/x
  3. Step 3: Cross multiply
    628.24x = 937.75 × 583.19
  4. Step 4: Simplify right side
    628.24x = 546,886.42
  5. Step 5: Solve for x
    x = 546,886.42/628.24
  6. Step 6: Final answer
    x = 870.51

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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.