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Finding the Fourth Proportional to 520.96, 784.24 and 400.72

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Solution

The fourth proportional to 520.96, 784.24 and 400.72 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 784.24 = 400.72 : x
  2. Step 2: Convert to fraction form
    520.96/784.24 = 400.72/x
  3. Step 3: Cross multiply
    520.96x = 784.24 × 400.72
  4. Step 4: Simplify right side
    520.96x = 314,260.65
  5. Step 5: Solve for x
    x = 314,260.65/520.96
  6. Step 6: Final answer
    x = 603.23

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.