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Finding the Fourth Proportional to 904.71, 1,257.35 and 894.99

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Solution

The fourth proportional to 904.71, 1,257.35 and 894.99 is: 1,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.71 : 1,257.35 = 894.99 : x
  2. Step 2: Convert to fraction form
    904.71/1,257.35 = 894.99/x
  3. Step 3: Cross multiply
    904.71x = 1,257.35 × 894.99
  4. Step 4: Simplify right side
    904.71x = 1,125,317.91
  5. Step 5: Solve for x
    x = 1,125,317.91/904.71
  6. Step 6: Final answer
    x = 1,243.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.