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Finding the Fourth Proportional to 904.64, 1,246.56 and 870.56

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Solution

The fourth proportional to 904.64, 1,246.56 and 870.56 is: 1,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.64 : 1,246.56 = 870.56 : x
  2. Step 2: Convert to fraction form
    904.64/1,246.56 = 870.56/x
  3. Step 3: Cross multiply
    904.64x = 1,246.56 × 870.56
  4. Step 4: Simplify right side
    904.64x = 1,085,205.27
  5. Step 5: Solve for x
    x = 1,085,205.27/904.64
  6. Step 6: Final answer
    x = 1,199.60

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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.