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Finding the Fourth Proportional to 1,019.64, 1,407.08 and 553.88

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Solution

The fourth proportional to 1,019.64, 1,407.08 and 553.88 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.64 : 1,407.08 = 553.88 : x
  2. Step 2: Convert to fraction form
    1,019.64/1,407.08 = 553.88/x
  3. Step 3: Cross multiply
    1,019.64x = 1,407.08 × 553.88
  4. Step 4: Simplify right side
    1,019.64x = 779,353.47
  5. Step 5: Solve for x
    x = 779,353.47/1,019.64
  6. Step 6: Final answer
    x = 764.34

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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.