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Finding the Fourth Proportional to 962.05, 1,328.02 and 589.16

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Solution

The fourth proportional to 962.05, 1,328.02 and 589.16 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.05 : 1,328.02 = 589.16 : x
  2. Step 2: Convert to fraction form
    962.05/1,328.02 = 589.16/x
  3. Step 3: Cross multiply
    962.05x = 1,328.02 × 589.16
  4. Step 4: Simplify right side
    962.05x = 782,416.26
  5. Step 5: Solve for x
    x = 782,416.26/962.05
  6. Step 6: Final answer
    x = 813.28

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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.