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Finding the Fourth Proportional to 945.00, 1,416.47 and 807.63

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Solution

The fourth proportional to 945.00, 1,416.47 and 807.63 is: 1,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.00 : 1,416.47 = 807.63 : x
  2. Step 2: Convert to fraction form
    945.00/1,416.47 = 807.63/x
  3. Step 3: Cross multiply
    945.00x = 1,416.47 × 807.63
  4. Step 4: Simplify right side
    945.00x = 1,143,979.63
  5. Step 5: Solve for x
    x = 1,143,979.63/945.00
  6. Step 6: Final answer
    x = 1,210.56

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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.