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Finding the Fourth Proportional to 1,028.49, 1,549.90 and 931.07

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Solution

The fourth proportional to 1,028.49, 1,549.90 and 931.07 is: 1,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,549.90 = 931.07 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,549.90 = 931.07/x
  3. Step 3: Cross multiply
    1,028.49x = 1,549.90 × 931.07
  4. Step 4: Simplify right side
    1,028.49x = 1,443,055.32
  5. Step 5: Solve for x
    x = 1,443,055.32/1,028.49
  6. Step 6: Final answer
    x = 1,403.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.