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Finding the Fourth Proportional to 926.90, 1,276.53 and 906.74

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Solution

The fourth proportional to 926.90, 1,276.53 and 906.74 is: 1,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.90 : 1,276.53 = 906.74 : x
  2. Step 2: Convert to fraction form
    926.90/1,276.53 = 906.74/x
  3. Step 3: Cross multiply
    926.90x = 1,276.53 × 906.74
  4. Step 4: Simplify right side
    926.90x = 1,157,480.81
  5. Step 5: Solve for x
    x = 1,157,480.81/926.90
  6. Step 6: Final answer
    x = 1,248.77

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1.5x scale

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.