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Finding the Fourth Proportional to 1,030.10, 1,546.32 and 543.02

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Solution

The fourth proportional to 1,030.10, 1,546.32 and 543.02 is: 815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.10 : 1,546.32 = 543.02 : x
  2. Step 2: Convert to fraction form
    1,030.10/1,546.32 = 543.02/x
  3. Step 3: Cross multiply
    1,030.10x = 1,546.32 × 543.02
  4. Step 4: Simplify right side
    1,030.10x = 839,682.69
  5. Step 5: Solve for x
    x = 839,682.69/1,030.10
  6. Step 6: Final answer
    x = 815.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.