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Finding the Fourth Proportional to 653.04, 978.18 and 392.22

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Solution

The fourth proportional to 653.04, 978.18 and 392.22 is: 587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 978.18 = 392.22 : x
  2. Step 2: Convert to fraction form
    653.04/978.18 = 392.22/x
  3. Step 3: Cross multiply
    653.04x = 978.18 × 392.22
  4. Step 4: Simplify right side
    653.04x = 383,661.76
  5. Step 5: Solve for x
    x = 383,661.76/653.04
  6. Step 6: Final answer
    x = 587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.