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Finding the Fourth Proportional to 693.98, 957.36 and 507.16

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Solution

The fourth proportional to 693.98, 957.36 and 507.16 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.98 : 957.36 = 507.16 : x
  2. Step 2: Convert to fraction form
    693.98/957.36 = 507.16/x
  3. Step 3: Cross multiply
    693.98x = 957.36 × 507.16
  4. Step 4: Simplify right side
    693.98x = 485,534.70
  5. Step 5: Solve for x
    x = 485,534.70/693.98
  6. Step 6: Final answer
    x = 699.64

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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.