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Finding the Fourth Proportional to 943.02, 1,407.42 and 918.45

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Solution

The fourth proportional to 943.02, 1,407.42 and 918.45 is: 1,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.02 : 1,407.42 = 918.45 : x
  2. Step 2: Convert to fraction form
    943.02/1,407.42 = 918.45/x
  3. Step 3: Cross multiply
    943.02x = 1,407.42 × 918.45
  4. Step 4: Simplify right side
    943.02x = 1,292,644.90
  5. Step 5: Solve for x
    x = 1,292,644.90/943.02
  6. Step 6: Final answer
    x = 1,370.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.