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Finding the Fourth Proportional to 1,158.49, 1,598.56 and 785.28

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Solution

The fourth proportional to 1,158.49, 1,598.56 and 785.28 is: 1,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.49 : 1,598.56 = 785.28 : x
  2. Step 2: Convert to fraction form
    1,158.49/1,598.56 = 785.28/x
  3. Step 3: Cross multiply
    1,158.49x = 1,598.56 × 785.28
  4. Step 4: Simplify right side
    1,158.49x = 1,255,317.20
  5. Step 5: Solve for x
    x = 1,255,317.20/1,158.49
  6. Step 6: Final answer
    x = 1,083.58

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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.