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Finding the Fourth Proportional to 666.10, 922.29 and 653.30

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Solution

The fourth proportional to 666.10, 922.29 and 653.30 is: 904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.10 : 922.29 = 653.30 : x
  2. Step 2: Convert to fraction form
    666.10/922.29 = 653.30/x
  3. Step 3: Cross multiply
    666.10x = 922.29 × 653.30
  4. Step 4: Simplify right side
    666.10x = 602,532.06
  5. Step 5: Solve for x
    x = 602,532.06/666.10
  6. Step 6: Final answer
    x = 904.57

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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.