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Finding the Fourth Proportional to 1,038.71, 1,433.75 and 661.05

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Solution

The fourth proportional to 1,038.71, 1,433.75 and 661.05 is: 912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.71 : 1,433.75 = 661.05 : x
  2. Step 2: Convert to fraction form
    1,038.71/1,433.75 = 661.05/x
  3. Step 3: Cross multiply
    1,038.71x = 1,433.75 × 661.05
  4. Step 4: Simplify right side
    1,038.71x = 947,777.13
  5. Step 5: Solve for x
    x = 947,777.13/1,038.71
  6. Step 6: Final answer
    x = 912.46

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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.