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Finding the Fourth Proportional to 610.12, 920.59 and 583.48

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Solution

The fourth proportional to 610.12, 920.59 and 583.48 is: 880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.12 : 920.59 = 583.48 : x
  2. Step 2: Convert to fraction form
    610.12/920.59 = 583.48/x
  3. Step 3: Cross multiply
    610.12x = 920.59 × 583.48
  4. Step 4: Simplify right side
    610.12x = 537,145.85
  5. Step 5: Solve for x
    x = 537,145.85/610.12
  6. Step 6: Final answer
    x = 880.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.