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Finding the Fourth Proportional to 620.79, 929.88 and 578.07

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Solution

The fourth proportional to 620.79, 929.88 and 578.07 is: 865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.79 : 929.88 = 578.07 : x
  2. Step 2: Convert to fraction form
    620.79/929.88 = 578.07/x
  3. Step 3: Cross multiply
    620.79x = 929.88 × 578.07
  4. Step 4: Simplify right side
    620.79x = 537,535.73
  5. Step 5: Solve for x
    x = 537,535.73/620.79
  6. Step 6: Final answer
    x = 865.89

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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.