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Finding the Fourth Proportional to 693.12, 957.04 and 457.20

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Solution

The fourth proportional to 693.12, 957.04 and 457.20 is: 631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.12 : 957.04 = 457.20 : x
  2. Step 2: Convert to fraction form
    693.12/957.04 = 457.20/x
  3. Step 3: Cross multiply
    693.12x = 957.04 × 457.20
  4. Step 4: Simplify right side
    693.12x = 437,558.69
  5. Step 5: Solve for x
    x = 437,558.69/693.12
  6. Step 6: Final answer
    x = 631.29

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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.