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Finding the Fourth Proportional to 509.12, 701.16 and 507.52

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Solution

The fourth proportional to 509.12, 701.16 and 507.52 is: 698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 701.16 = 507.52 : x
  2. Step 2: Convert to fraction form
    509.12/701.16 = 507.52/x
  3. Step 3: Cross multiply
    509.12x = 701.16 × 507.52
  4. Step 4: Simplify right side
    509.12x = 355,852.72
  5. Step 5: Solve for x
    x = 355,852.72/509.12
  6. Step 6: Final answer
    x = 698.96

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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.