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Finding the Fourth Proportional to 556.70, 830.13 and 551.75

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Solution

The fourth proportional to 556.70, 830.13 and 551.75 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.70 : 830.13 = 551.75 : x
  2. Step 2: Convert to fraction form
    556.70/830.13 = 551.75/x
  3. Step 3: Cross multiply
    556.70x = 830.13 × 551.75
  4. Step 4: Simplify right side
    556.70x = 458,024.23
  5. Step 5: Solve for x
    x = 458,024.23/556.70
  6. Step 6: Final answer
    x = 822.75

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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.