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Finding the Fourth Proportional to 520.24, 776.54 and 452.24

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Solution

The fourth proportional to 520.24, 776.54 and 452.24 is: 675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 776.54 = 452.24 : x
  2. Step 2: Convert to fraction form
    520.24/776.54 = 452.24/x
  3. Step 3: Cross multiply
    520.24x = 776.54 × 452.24
  4. Step 4: Simplify right side
    520.24x = 351,182.45
  5. Step 5: Solve for x
    x = 351,182.45/520.24
  6. Step 6: Final answer
    x = 675.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.