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Finding the Fourth Proportional to 1,127.55, 1,690.19 and 433.68

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Solution

The fourth proportional to 1,127.55, 1,690.19 and 433.68 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.55 : 1,690.19 = 433.68 : x
  2. Step 2: Convert to fraction form
    1,127.55/1,690.19 = 433.68/x
  3. Step 3: Cross multiply
    1,127.55x = 1,690.19 × 433.68
  4. Step 4: Simplify right side
    1,127.55x = 732,999.43
  5. Step 5: Solve for x
    x = 732,999.43/1,127.55
  6. Step 6: Final answer
    x = 650.08

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1.5x scale

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.