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Finding the Fourth Proportional to 655.82, 978.66 and 583.10

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Solution

The fourth proportional to 655.82, 978.66 and 583.10 is: 870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.82 : 978.66 = 583.10 : x
  2. Step 2: Convert to fraction form
    655.82/978.66 = 583.10/x
  3. Step 3: Cross multiply
    655.82x = 978.66 × 583.10
  4. Step 4: Simplify right side
    655.82x = 570,653.73
  5. Step 5: Solve for x
    x = 570,653.73/655.82
  6. Step 6: Final answer
    x = 870.14

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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.