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Finding the Fourth Proportional to 962.51, 1,328.26 and 520.41

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Solution

The fourth proportional to 962.51, 1,328.26 and 520.41 is: 718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.51 : 1,328.26 = 520.41 : x
  2. Step 2: Convert to fraction form
    962.51/1,328.26 = 520.41/x
  3. Step 3: Cross multiply
    962.51x = 1,328.26 × 520.41
  4. Step 4: Simplify right side
    962.51x = 691,239.79
  5. Step 5: Solve for x
    x = 691,239.79/962.51
  6. Step 6: Final answer
    x = 718.16

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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.