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Finding the Fourth Proportional to 628.14, 937.60 and 583.08

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Solution

The fourth proportional to 628.14, 937.60 and 583.08 is: 870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 937.60 = 583.08 : x
  2. Step 2: Convert to fraction form
    628.14/937.60 = 583.08/x
  3. Step 3: Cross multiply
    628.14x = 937.60 × 583.08
  4. Step 4: Simplify right side
    628.14x = 546,695.81
  5. Step 5: Solve for x
    x = 546,695.81/628.14
  6. Step 6: Final answer
    x = 870.34

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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.