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Finding the Fourth Proportional to 1,291.51, 1,937.64 and 469.81

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Solution

The fourth proportional to 1,291.51, 1,937.64 and 469.81 is: 704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.51 : 1,937.64 = 469.81 : x
  2. Step 2: Convert to fraction form
    1,291.51/1,937.64 = 469.81/x
  3. Step 3: Cross multiply
    1,291.51x = 1,937.64 × 469.81
  4. Step 4: Simplify right side
    1,291.51x = 910,326.83
  5. Step 5: Solve for x
    x = 910,326.83/1,291.51
  6. Step 6: Final answer
    x = 704.85

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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.