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Finding the Fourth Proportional to 1,030.74, 1,422.51 and 637.86

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Solution

The fourth proportional to 1,030.74, 1,422.51 and 637.86 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.74 : 1,422.51 = 637.86 : x
  2. Step 2: Convert to fraction form
    1,030.74/1,422.51 = 637.86/x
  3. Step 3: Cross multiply
    1,030.74x = 1,422.51 × 637.86
  4. Step 4: Simplify right side
    1,030.74x = 907,362.23
  5. Step 5: Solve for x
    x = 907,362.23/1,030.74
  6. Step 6: Final answer
    x = 880.30

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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.