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Finding the Fourth Proportional to 522.60, 715.83 and 521.16

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Solution

The fourth proportional to 522.60, 715.83 and 521.16 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 715.83 = 521.16 : x
  2. Step 2: Convert to fraction form
    522.60/715.83 = 521.16/x
  3. Step 3: Cross multiply
    522.60x = 715.83 × 521.16
  4. Step 4: Simplify right side
    522.60x = 373,061.96
  5. Step 5: Solve for x
    x = 373,061.96/522.60
  6. Step 6: Final answer
    x = 713.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.