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Finding the Fourth Proportional to 656.19, 988.78 and 543.17

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Solution

The fourth proportional to 656.19, 988.78 and 543.17 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 988.78 = 543.17 : x
  2. Step 2: Convert to fraction form
    656.19/988.78 = 543.17/x
  3. Step 3: Cross multiply
    656.19x = 988.78 × 543.17
  4. Step 4: Simplify right side
    656.19x = 537,075.12
  5. Step 5: Solve for x
    x = 537,075.12/656.19
  6. Step 6: Final answer
    x = 818.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.