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Finding the Fourth Proportional to 659.54, 984.18 and 572.06

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Solution

The fourth proportional to 659.54, 984.18 and 572.06 is: 853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.54 : 984.18 = 572.06 : x
  2. Step 2: Convert to fraction form
    659.54/984.18 = 572.06/x
  3. Step 3: Cross multiply
    659.54x = 984.18 × 572.06
  4. Step 4: Simplify right side
    659.54x = 563,010.01
  5. Step 5: Solve for x
    x = 563,010.01/659.54
  6. Step 6: Final answer
    x = 853.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.