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Finding the Fourth Proportional to 942.26, 1,300.34 and 522.62

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Solution

The fourth proportional to 942.26, 1,300.34 and 522.62 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,300.34 = 522.62 : x
  2. Step 2: Convert to fraction form
    942.26/1,300.34 = 522.62/x
  3. Step 3: Cross multiply
    942.26x = 1,300.34 × 522.62
  4. Step 4: Simplify right side
    942.26x = 679,574.58
  5. Step 5: Solve for x
    x = 679,574.58/942.26
  6. Step 6: Final answer
    x = 721.22

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1.5x scale

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.