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Finding the Fourth Proportional to 520.36, 718.09 and 284.32

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Solution

The fourth proportional to 520.36, 718.09 and 284.32 is: 392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 718.09 = 284.32 : x
  2. Step 2: Convert to fraction form
    520.36/718.09 = 284.32/x
  3. Step 3: Cross multiply
    520.36x = 718.09 × 284.32
  4. Step 4: Simplify right side
    520.36x = 204,165.91
  5. Step 5: Solve for x
    x = 204,165.91/520.36
  6. Step 6: Final answer
    x = 392.35

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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.