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Finding the Fourth Proportional to 1,017.42, 1,525.97 and 469.49

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Solution

The fourth proportional to 1,017.42, 1,525.97 and 469.49 is: 704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.42 : 1,525.97 = 469.49 : x
  2. Step 2: Convert to fraction form
    1,017.42/1,525.97 = 469.49/x
  3. Step 3: Cross multiply
    1,017.42x = 1,525.97 × 469.49
  4. Step 4: Simplify right side
    1,017.42x = 716,417.68
  5. Step 5: Solve for x
    x = 716,417.68/1,017.42
  6. Step 6: Final answer
    x = 704.15

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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.