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Finding the Fourth Proportional to 699.48, 1,047.16 and 490.51

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Solution

The fourth proportional to 699.48, 1,047.16 and 490.51 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 1,047.16 = 490.51 : x
  2. Step 2: Convert to fraction form
    699.48/1,047.16 = 490.51/x
  3. Step 3: Cross multiply
    699.48x = 1,047.16 × 490.51
  4. Step 4: Simplify right side
    699.48x = 513,642.45
  5. Step 5: Solve for x
    x = 513,642.45/699.48
  6. Step 6: Final answer
    x = 734.33

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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.