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Finding the Fourth Proportional to 904.07, 1,246.11 and 870.05

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Solution

The fourth proportional to 904.07, 1,246.11 and 870.05 is: 1,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.07 : 1,246.11 = 870.05 : x
  2. Step 2: Convert to fraction form
    904.07/1,246.11 = 870.05/x
  3. Step 3: Cross multiply
    904.07x = 1,246.11 × 870.05
  4. Step 4: Simplify right side
    904.07x = 1,084,178.01
  5. Step 5: Solve for x
    x = 1,084,178.01/904.07
  6. Step 6: Final answer
    x = 1,199.22

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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.