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Finding the Fourth Proportional to 926.47, 1,276.53 and 631.23

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Solution

The fourth proportional to 926.47, 1,276.53 and 631.23 is: 869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.47 : 1,276.53 = 631.23 : x
  2. Step 2: Convert to fraction form
    926.47/1,276.53 = 631.23/x
  3. Step 3: Cross multiply
    926.47x = 1,276.53 × 631.23
  4. Step 4: Simplify right side
    926.47x = 805,784.03
  5. Step 5: Solve for x
    x = 805,784.03/926.47
  6. Step 6: Final answer
    x = 869.74

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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.