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Finding the Fourth Proportional to 962.49, 1,328.24 and 520.39

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Solution

The fourth proportional to 962.49, 1,328.24 and 520.39 is: 718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.49 : 1,328.24 = 520.39 : x
  2. Step 2: Convert to fraction form
    962.49/1,328.24 = 520.39/x
  3. Step 3: Cross multiply
    962.49x = 1,328.24 × 520.39
  4. Step 4: Simplify right side
    962.49x = 691,205.77
  5. Step 5: Solve for x
    x = 691,205.77/962.49
  6. Step 6: Final answer
    x = 718.14

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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.