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Finding the Fourth Proportional to 522.09, 715.81 and 512.91

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Solution

The fourth proportional to 522.09, 715.81 and 512.91 is: 703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 715.81 = 512.91 : x
  2. Step 2: Convert to fraction form
    522.09/715.81 = 512.91/x
  3. Step 3: Cross multiply
    522.09x = 715.81 × 512.91
  4. Step 4: Simplify right side
    522.09x = 367,146.11
  5. Step 5: Solve for x
    x = 367,146.11/522.09
  6. Step 6: Final answer
    x = 703.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.