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Finding the Fourth Proportional to 699.72, 1,047.96 and 536.10

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Solution

The fourth proportional to 699.72, 1,047.96 and 536.10 is: 802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 1,047.96 = 536.10 : x
  2. Step 2: Convert to fraction form
    699.72/1,047.96 = 536.10/x
  3. Step 3: Cross multiply
    699.72x = 1,047.96 × 536.10
  4. Step 4: Simplify right side
    699.72x = 561,811.36
  5. Step 5: Solve for x
    x = 561,811.36/699.72
  6. Step 6: Final answer
    x = 802.91

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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.