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Finding the Fourth Proportional to 520.34, 717.80 and 354.51

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Solution

The fourth proportional to 520.34, 717.80 and 354.51 is: 489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 717.80 = 354.51 : x
  2. Step 2: Convert to fraction form
    520.34/717.80 = 354.51/x
  3. Step 3: Cross multiply
    520.34x = 717.80 × 354.51
  4. Step 4: Simplify right side
    520.34x = 254,465.51
  5. Step 5: Solve for x
    x = 254,465.51/520.34
  6. Step 6: Final answer
    x = 489.04

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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.