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Finding the Fourth Proportional to 1,615.16, 2,421.28 and 641.84

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Solution

The fourth proportional to 1,615.16, 2,421.28 and 641.84 is: 962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.16 : 2,421.28 = 641.84 : x
  2. Step 2: Convert to fraction form
    1,615.16/2,421.28 = 641.84/x
  3. Step 3: Cross multiply
    1,615.16x = 2,421.28 × 641.84
  4. Step 4: Simplify right side
    1,615.16x = 1,554,074.36
  5. Step 5: Solve for x
    x = 1,554,074.36/1,615.16
  6. Step 6: Final answer
    x = 962.18

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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.