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Finding the Fourth Proportional to 2,275.04, 3,412.55 and 631.58

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Solution

The fourth proportional to 2,275.04, 3,412.55 and 631.58 is: 947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.04 : 3,412.55 = 631.58 : x
  2. Step 2: Convert to fraction form
    2,275.04/3,412.55 = 631.58/x
  3. Step 3: Cross multiply
    2,275.04x = 3,412.55 × 631.58
  4. Step 4: Simplify right side
    2,275.04x = 2,155,278.11
  5. Step 5: Solve for x
    x = 2,155,278.11/2,275.04
  6. Step 6: Final answer
    x = 947.36

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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.