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Finding the Fourth Proportional to 523.16, 783.48 and 474.56

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Solution

The fourth proportional to 523.16, 783.48 and 474.56 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.16 : 783.48 = 474.56 : x
  2. Step 2: Convert to fraction form
    523.16/783.48 = 474.56/x
  3. Step 3: Cross multiply
    523.16x = 783.48 × 474.56
  4. Step 4: Simplify right side
    523.16x = 371,808.27
  5. Step 5: Solve for x
    x = 371,808.27/523.16
  6. Step 6: Final answer
    x = 710.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.