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Finding the Fourth Proportional to 1,032.17, 1,424.33 and 638.51

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Solution

The fourth proportional to 1,032.17, 1,424.33 and 638.51 is: 881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.17 : 1,424.33 = 638.51 : x
  2. Step 2: Convert to fraction form
    1,032.17/1,424.33 = 638.51/x
  3. Step 3: Cross multiply
    1,032.17x = 1,424.33 × 638.51
  4. Step 4: Simplify right side
    1,032.17x = 909,438.63
  5. Step 5: Solve for x
    x = 909,438.63/1,032.17
  6. Step 6: Final answer
    x = 881.10

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1.5x scale

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.