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Finding the Fourth Proportional to 656.32, 979.40 and 583.60

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Solution

The fourth proportional to 656.32, 979.40 and 583.60 is: 870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.32 : 979.40 = 583.60 : x
  2. Step 2: Convert to fraction form
    656.32/979.40 = 583.60/x
  3. Step 3: Cross multiply
    656.32x = 979.40 × 583.60
  4. Step 4: Simplify right side
    656.32x = 571,577.84
  5. Step 5: Solve for x
    x = 571,577.84/656.32
  6. Step 6: Final answer
    x = 870.88

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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.