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Finding the Fourth Proportional to 521.56, 715.79 and 507.16

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Solution

The fourth proportional to 521.56, 715.79 and 507.16 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.56 : 715.79 = 507.16 : x
  2. Step 2: Convert to fraction form
    521.56/715.79 = 507.16/x
  3. Step 3: Cross multiply
    521.56x = 715.79 × 507.16
  4. Step 4: Simplify right side
    521.56x = 363,020.06
  5. Step 5: Solve for x
    x = 363,020.06/521.56
  6. Step 6: Final answer
    x = 696.03

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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.