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Finding the Fourth Proportional to 1,005.54, 1,510.95 and 543.63

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Solution

The fourth proportional to 1,005.54, 1,510.95 and 543.63 is: 816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.54 : 1,510.95 = 543.63 : x
  2. Step 2: Convert to fraction form
    1,005.54/1,510.95 = 543.63/x
  3. Step 3: Cross multiply
    1,005.54x = 1,510.95 × 543.63
  4. Step 4: Simplify right side
    1,005.54x = 821,397.75
  5. Step 5: Solve for x
    x = 821,397.75/1,005.54
  6. Step 6: Final answer
    x = 816.87

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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.