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Finding the Fourth Proportional to 557.58, 771.48 and 470.10

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Solution

The fourth proportional to 557.58, 771.48 and 470.10 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 771.48 = 470.10 : x
  2. Step 2: Convert to fraction form
    557.58/771.48 = 470.10/x
  3. Step 3: Cross multiply
    557.58x = 771.48 × 470.10
  4. Step 4: Simplify right side
    557.58x = 362,672.75
  5. Step 5: Solve for x
    x = 362,672.75/557.58
  6. Step 6: Final answer
    x = 650.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.