Home / 1,931.77-2,897.66-470.91

Finding the Fourth Proportional to 1,931.77, 2,897.66 and 470.91

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Solution

The fourth proportional to 1,931.77, 2,897.66 and 470.91 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.77 : 2,897.66 = 470.91 : x
  2. Step 2: Convert to fraction form
    1,931.77/2,897.66 = 470.91/x
  3. Step 3: Cross multiply
    1,931.77x = 2,897.66 × 470.91
  4. Step 4: Simplify right side
    1,931.77x = 1,364,537.07
  5. Step 5: Solve for x
    x = 1,364,537.07/1,931.77
  6. Step 6: Final answer
    x = 706.37

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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.