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Finding the Fourth Proportional to 693.84, 957.21 and 458.11

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Solution

The fourth proportional to 693.84, 957.21 and 458.11 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 957.21 = 458.11 : x
  2. Step 2: Convert to fraction form
    693.84/957.21 = 458.11/x
  3. Step 3: Cross multiply
    693.84x = 957.21 × 458.11
  4. Step 4: Simplify right side
    693.84x = 438,507.47
  5. Step 5: Solve for x
    x = 438,507.47/693.84
  6. Step 6: Final answer
    x = 632.00

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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.