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Finding the Fourth Proportional to 697.02, 1,041.74 and 551.22

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Solution

The fourth proportional to 697.02, 1,041.74 and 551.22 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 1,041.74 = 551.22 : x
  2. Step 2: Convert to fraction form
    697.02/1,041.74 = 551.22/x
  3. Step 3: Cross multiply
    697.02x = 1,041.74 × 551.22
  4. Step 4: Simplify right side
    697.02x = 574,225.17
  5. Step 5: Solve for x
    x = 574,225.17/697.02
  6. Step 6: Final answer
    x = 823.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.