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Finding the Fourth Proportional to 988.57, 1,364.07 and 568.94

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Solution

The fourth proportional to 988.57, 1,364.07 and 568.94 is: 785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.57 : 1,364.07 = 568.94 : x
  2. Step 2: Convert to fraction form
    988.57/1,364.07 = 568.94/x
  3. Step 3: Cross multiply
    988.57x = 1,364.07 × 568.94
  4. Step 4: Simplify right side
    988.57x = 776,073.99
  5. Step 5: Solve for x
    x = 776,073.99/988.57
  6. Step 6: Final answer
    x = 785.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.