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Finding the Fourth Proportional to 623.30, 931.13 and 448.47

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Solution

The fourth proportional to 623.30, 931.13 and 448.47 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.30 : 931.13 = 448.47 : x
  2. Step 2: Convert to fraction form
    623.30/931.13 = 448.47/x
  3. Step 3: Cross multiply
    623.30x = 931.13 × 448.47
  4. Step 4: Simplify right side
    623.30x = 417,583.31
  5. Step 5: Solve for x
    x = 417,583.31/623.30
  6. Step 6: Final answer
    x = 669.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.