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Finding the Fourth Proportional to 699.84, 963.90 and 583.20

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Solution

The fourth proportional to 699.84, 963.90 and 583.20 is: 803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 963.90 = 583.20 : x
  2. Step 2: Convert to fraction form
    699.84/963.90 = 583.20/x
  3. Step 3: Cross multiply
    699.84x = 963.90 × 583.20
  4. Step 4: Simplify right side
    699.84x = 562,146.48
  5. Step 5: Solve for x
    x = 562,146.48/699.84
  6. Step 6: Final answer
    x = 803.25

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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.