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Finding the Fourth Proportional to 942.29, 1,300.36 and 522.65

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Solution

The fourth proportional to 942.29, 1,300.36 and 522.65 is: 721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.29 : 1,300.36 = 522.65 : x
  2. Step 2: Convert to fraction form
    942.29/1,300.36 = 522.65/x
  3. Step 3: Cross multiply
    942.29x = 1,300.36 × 522.65
  4. Step 4: Simplify right side
    942.29x = 679,625.35
  5. Step 5: Solve for x
    x = 679,625.35/942.29
  6. Step 6: Final answer
    x = 721.25

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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.