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Finding the Fourth Proportional to 886.35, 1,328.50 and 521.40

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Solution

The fourth proportional to 886.35, 1,328.50 and 521.40 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.35 : 1,328.50 = 521.40 : x
  2. Step 2: Convert to fraction form
    886.35/1,328.50 = 521.40/x
  3. Step 3: Cross multiply
    886.35x = 1,328.50 × 521.40
  4. Step 4: Simplify right side
    886.35x = 692,674.32
  5. Step 5: Solve for x
    x = 692,674.32/886.35
  6. Step 6: Final answer
    x = 781.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.