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Finding the Fourth Proportional to 688.30, 948.88 and 582.96

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Solution

The fourth proportional to 688.30, 948.88 and 582.96 is: 803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.30 : 948.88 = 582.96 : x
  2. Step 2: Convert to fraction form
    688.30/948.88 = 582.96/x
  3. Step 3: Cross multiply
    688.30x = 948.88 × 582.96
  4. Step 4: Simplify right side
    688.30x = 553,159.08
  5. Step 5: Solve for x
    x = 553,159.08/688.30
  6. Step 6: Final answer
    x = 803.66

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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.