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Finding the Fourth Proportional to 661.52, 913.06 and 392.57

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Solution

The fourth proportional to 661.52, 913.06 and 392.57 is: 541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 913.06 = 392.57 : x
  2. Step 2: Convert to fraction form
    661.52/913.06 = 392.57/x
  3. Step 3: Cross multiply
    661.52x = 913.06 × 392.57
  4. Step 4: Simplify right side
    661.52x = 358,440.42
  5. Step 5: Solve for x
    x = 358,440.42/661.52
  6. Step 6: Final answer
    x = 541.84

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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.