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Finding the Fourth Proportional to 699.19, 1,048.77 and 172.09

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Solution

The fourth proportional to 699.19, 1,048.77 and 172.09 is: 258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.19 : 1,048.77 = 172.09 : x
  2. Step 2: Convert to fraction form
    699.19/1,048.77 = 172.09/x
  3. Step 3: Cross multiply
    699.19x = 1,048.77 × 172.09
  4. Step 4: Simplify right side
    699.19x = 180,482.83
  5. Step 5: Solve for x
    x = 180,482.83/699.19
  6. Step 6: Final answer
    x = 258.13

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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.