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Finding the Fourth Proportional to 954.01, 1,429.39 and 807.63

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Solution

The fourth proportional to 954.01, 1,429.39 and 807.63 is: 1,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.01 : 1,429.39 = 807.63 : x
  2. Step 2: Convert to fraction form
    954.01/1,429.39 = 807.63/x
  3. Step 3: Cross multiply
    954.01x = 1,429.39 × 807.63
  4. Step 4: Simplify right side
    954.01x = 1,154,418.25
  5. Step 5: Solve for x
    x = 1,154,418.25/954.01
  6. Step 6: Final answer
    x = 1,210.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.