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Finding the Fourth Proportional to 699.25, 1,048.96 and 528.07

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Solution

The fourth proportional to 699.25, 1,048.96 and 528.07 is: 792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 1,048.96 = 528.07 : x
  2. Step 2: Convert to fraction form
    699.25/1,048.96 = 528.07/x
  3. Step 3: Cross multiply
    699.25x = 1,048.96 × 528.07
  4. Step 4: Simplify right side
    699.25x = 553,924.31
  5. Step 5: Solve for x
    x = 553,924.31/699.25
  6. Step 6: Final answer
    x = 792.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.