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Finding the Fourth Proportional to 1,122.83, 1,547.29 and 945.80

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Solution

The fourth proportional to 1,122.83, 1,547.29 and 945.80 is: 1,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.83 : 1,547.29 = 945.80 : x
  2. Step 2: Convert to fraction form
    1,122.83/1,547.29 = 945.80/x
  3. Step 3: Cross multiply
    1,122.83x = 1,547.29 × 945.80
  4. Step 4: Simplify right side
    1,122.83x = 1,463,426.88
  5. Step 5: Solve for x
    x = 1,463,426.88/1,122.83
  6. Step 6: Final answer
    x = 1,303.34

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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.