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Finding the Fourth Proportional to 1,128.77, 1,693.04 and 307.06

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Solution

The fourth proportional to 1,128.77, 1,693.04 and 307.06 is: 460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.77 : 1,693.04 = 307.06 : x
  2. Step 2: Convert to fraction form
    1,128.77/1,693.04 = 307.06/x
  3. Step 3: Cross multiply
    1,128.77x = 1,693.04 × 307.06
  4. Step 4: Simplify right side
    1,128.77x = 519,859.09
  5. Step 5: Solve for x
    x = 519,859.09/1,128.77
  6. Step 6: Final answer
    x = 460.55

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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.