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Finding the Fourth Proportional to 1,070.68, 1,603.76 and 549.09

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Solution

The fourth proportional to 1,070.68, 1,603.76 and 549.09 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.68 : 1,603.76 = 549.09 : x
  2. Step 2: Convert to fraction form
    1,070.68/1,603.76 = 549.09/x
  3. Step 3: Cross multiply
    1,070.68x = 1,603.76 × 549.09
  4. Step 4: Simplify right side
    1,070.68x = 880,608.58
  5. Step 5: Solve for x
    x = 880,608.58/1,070.68
  6. Step 6: Final answer
    x = 822.48

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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.