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Finding the Fourth Proportional to 557.44, 840.48 and 520.32

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Solution

The fourth proportional to 557.44, 840.48 and 520.32 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 840.48 = 520.32 : x
  2. Step 2: Convert to fraction form
    557.44/840.48 = 520.32/x
  3. Step 3: Cross multiply
    557.44x = 840.48 × 520.32
  4. Step 4: Simplify right side
    557.44x = 437,318.55
  5. Step 5: Solve for x
    x = 437,318.55/557.44
  6. Step 6: Final answer
    x = 784.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.