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Finding the Fourth Proportional to 631.03, 947.05 and 457.78

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Solution

The fourth proportional to 631.03, 947.05 and 457.78 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.03 : 947.05 = 457.78 : x
  2. Step 2: Convert to fraction form
    631.03/947.05 = 457.78/x
  3. Step 3: Cross multiply
    631.03x = 947.05 × 457.78
  4. Step 4: Simplify right side
    631.03x = 433,537.04
  5. Step 5: Solve for x
    x = 433,537.04/631.03
  6. Step 6: Final answer
    x = 687.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.