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Finding the Fourth Proportional to 676.12, 930.70 and 583.17

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Solution

The fourth proportional to 676.12, 930.70 and 583.17 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.12 : 930.70 = 583.17 : x
  2. Step 2: Convert to fraction form
    676.12/930.70 = 583.17/x
  3. Step 3: Cross multiply
    676.12x = 930.70 × 583.17
  4. Step 4: Simplify right side
    676.12x = 542,756.32
  5. Step 5: Solve for x
    x = 542,756.32/676.12
  6. Step 6: Final answer
    x = 802.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.