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Finding the Fourth Proportional to 557.72, 830.69 and 528.45

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Solution

The fourth proportional to 557.72, 830.69 and 528.45 is: 787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 830.69 = 528.45 : x
  2. Step 2: Convert to fraction form
    557.72/830.69 = 528.45/x
  3. Step 3: Cross multiply
    557.72x = 830.69 × 528.45
  4. Step 4: Simplify right side
    557.72x = 438,971.33
  5. Step 5: Solve for x
    x = 438,971.33/557.72
  6. Step 6: Final answer
    x = 787.09

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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.