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Finding the Fourth Proportional to 520.04, 717.71 and 310.25

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Solution

The fourth proportional to 520.04, 717.71 and 310.25 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 717.71 = 310.25 : x
  2. Step 2: Convert to fraction form
    520.04/717.71 = 310.25/x
  3. Step 3: Cross multiply
    520.04x = 717.71 × 310.25
  4. Step 4: Simplify right side
    520.04x = 222,669.77
  5. Step 5: Solve for x
    x = 222,669.77/520.04
  6. Step 6: Final answer
    x = 428.18

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1.5x scale

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.