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Finding the Fourth Proportional to 1,020.02, 1,407.63 and 554.26

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Solution

The fourth proportional to 1,020.02, 1,407.63 and 554.26 is: 764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.02 : 1,407.63 = 554.26 : x
  2. Step 2: Convert to fraction form
    1,020.02/1,407.63 = 554.26/x
  3. Step 3: Cross multiply
    1,020.02x = 1,407.63 × 554.26
  4. Step 4: Simplify right side
    1,020.02x = 780,193.00
  5. Step 5: Solve for x
    x = 780,193.00/1,020.02
  6. Step 6: Final answer
    x = 764.88

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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.