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Finding the Fourth Proportional to 988.96, 1,364.60 and 569.33

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Solution

The fourth proportional to 988.96, 1,364.60 and 569.33 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.96 : 1,364.60 = 569.33 : x
  2. Step 2: Convert to fraction form
    988.96/1,364.60 = 569.33/x
  3. Step 3: Cross multiply
    988.96x = 1,364.60 × 569.33
  4. Step 4: Simplify right side
    988.96x = 776,902.32
  5. Step 5: Solve for x
    x = 776,902.32/988.96
  6. Step 6: Final answer
    x = 785.58

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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.