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Finding the Fourth Proportional to 522.17, 717.65 and 507.59

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Solution

The fourth proportional to 522.17, 717.65 and 507.59 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 717.65 = 507.59 : x
  2. Step 2: Convert to fraction form
    522.17/717.65 = 507.59/x
  3. Step 3: Cross multiply
    522.17x = 717.65 × 507.59
  4. Step 4: Simplify right side
    522.17x = 364,271.96
  5. Step 5: Solve for x
    x = 364,271.96/522.17
  6. Step 6: Final answer
    x = 697.61

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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.