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Finding the Fourth Proportional to 988.97, 1,364.64 and 569.16

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Solution

The fourth proportional to 988.97, 1,364.64 and 569.16 is: 785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.97 : 1,364.64 = 569.16 : x
  2. Step 2: Convert to fraction form
    988.97/1,364.64 = 569.16/x
  3. Step 3: Cross multiply
    988.97x = 1,364.64 × 569.16
  4. Step 4: Simplify right side
    988.97x = 776,698.50
  5. Step 5: Solve for x
    x = 776,698.50/988.97
  6. Step 6: Final answer
    x = 785.36

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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.