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Finding the Fourth Proportional to 632.51, 947.70 and 448.99

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Solution

The fourth proportional to 632.51, 947.70 and 448.99 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.51 : 947.70 = 448.99 : x
  2. Step 2: Convert to fraction form
    632.51/947.70 = 448.99/x
  3. Step 3: Cross multiply
    632.51x = 947.70 × 448.99
  4. Step 4: Simplify right side
    632.51x = 425,510.78
  5. Step 5: Solve for x
    x = 425,510.78/632.51
  6. Step 6: Final answer
    x = 672.74

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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.