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Finding the Fourth Proportional to 1,590.84, 2,194.82 and 1,031.74

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Solution

The fourth proportional to 1,590.84, 2,194.82 and 1,031.74 is: 1,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.84 : 2,194.82 = 1,031.74 : x
  2. Step 2: Convert to fraction form
    1,590.84/2,194.82 = 1,031.74/x
  3. Step 3: Cross multiply
    1,590.84x = 2,194.82 × 1,031.74
  4. Step 4: Simplify right side
    1,590.84x = 2,264,483.59
  5. Step 5: Solve for x
    x = 2,264,483.59/1,590.84
  6. Step 6: Final answer
    x = 1,423.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.