Home / 1,931.56-2,897.34-470.70

Finding the Fourth Proportional to 1,931.56, 2,897.34 and 470.70

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Solution

The fourth proportional to 1,931.56, 2,897.34 and 470.70 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.56 : 2,897.34 = 470.70 : x
  2. Step 2: Convert to fraction form
    1,931.56/2,897.34 = 470.70/x
  3. Step 3: Cross multiply
    1,931.56x = 2,897.34 × 470.70
  4. Step 4: Simplify right side
    1,931.56x = 1,363,777.94
  5. Step 5: Solve for x
    x = 1,363,777.94/1,931.56
  6. Step 6: Final answer
    x = 706.05

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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.