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Finding the Fourth Proportional to 569.08, 788.95 and 549.06

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Solution

The fourth proportional to 569.08, 788.95 and 549.06 is: 761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.08 : 788.95 = 549.06 : x
  2. Step 2: Convert to fraction form
    569.08/788.95 = 549.06/x
  3. Step 3: Cross multiply
    569.08x = 788.95 × 549.06
  4. Step 4: Simplify right side
    569.08x = 433,180.89
  5. Step 5: Solve for x
    x = 433,180.89/569.08
  6. Step 6: Final answer
    x = 761.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.