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Finding the Fourth Proportional to 656.76, 983.10 and 583.58

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Solution

The fourth proportional to 656.76, 983.10 and 583.58 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 983.10 = 583.58 : x
  2. Step 2: Convert to fraction form
    656.76/983.10 = 583.58/x
  3. Step 3: Cross multiply
    656.76x = 983.10 × 583.58
  4. Step 4: Simplify right side
    656.76x = 573,717.50
  5. Step 5: Solve for x
    x = 573,717.50/656.76
  6. Step 6: Final answer
    x = 873.56

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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.