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Finding the Fourth Proportional to 656.64, 979.56 and 583.74

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Solution

The fourth proportional to 656.64, 979.56 and 583.74 is: 870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 979.56 = 583.74 : x
  2. Step 2: Convert to fraction form
    656.64/979.56 = 583.74/x
  3. Step 3: Cross multiply
    656.64x = 979.56 × 583.74
  4. Step 4: Simplify right side
    656.64x = 571,808.35
  5. Step 5: Solve for x
    x = 571,808.35/656.64
  6. Step 6: Final answer
    x = 870.81

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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.