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Finding the Fourth Proportional to 988.66, 1,364.93 and 653.09

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Solution

The fourth proportional to 988.66, 1,364.93 and 653.09 is: 901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.66 : 1,364.93 = 653.09 : x
  2. Step 2: Convert to fraction form
    988.66/1,364.93 = 653.09/x
  3. Step 3: Cross multiply
    988.66x = 1,364.93 × 653.09
  4. Step 4: Simplify right side
    988.66x = 891,422.13
  5. Step 5: Solve for x
    x = 891,422.13/988.66
  6. Step 6: Final answer
    x = 901.65

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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.