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Finding the Fourth Proportional to 1,030.64, 1,538.04 and 921.28

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Solution

The fourth proportional to 1,030.64, 1,538.04 and 921.28 is: 1,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.64 : 1,538.04 = 921.28 : x
  2. Step 2: Convert to fraction form
    1,030.64/1,538.04 = 921.28/x
  3. Step 3: Cross multiply
    1,030.64x = 1,538.04 × 921.28
  4. Step 4: Simplify right side
    1,030.64x = 1,416,965.49
  5. Step 5: Solve for x
    x = 1,416,965.49/1,030.64
  6. Step 6: Final answer
    x = 1,374.84

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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.