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Finding the Fourth Proportional to 520.45, 776.98 and 429.32

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Solution

The fourth proportional to 520.45, 776.98 and 429.32 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.45 : 776.98 = 429.32 : x
  2. Step 2: Convert to fraction form
    520.45/776.98 = 429.32/x
  3. Step 3: Cross multiply
    520.45x = 776.98 × 429.32
  4. Step 4: Simplify right side
    520.45x = 333,573.05
  5. Step 5: Solve for x
    x = 333,573.05/520.45
  6. Step 6: Final answer
    x = 640.93

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Double scale
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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.