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Finding the Fourth Proportional to 1,133.90, 1,565.16 and 661.94

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Solution

The fourth proportional to 1,133.90, 1,565.16 and 661.94 is: 913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.90 : 1,565.16 = 661.94 : x
  2. Step 2: Convert to fraction form
    1,133.90/1,565.16 = 661.94/x
  3. Step 3: Cross multiply
    1,133.90x = 1,565.16 × 661.94
  4. Step 4: Simplify right side
    1,133.90x = 1,036,042.01
  5. Step 5: Solve for x
    x = 1,036,042.01/1,133.90
  6. Step 6: Final answer
    x = 913.70

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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.