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Finding the Fourth Proportional to 1,178.13, 1,625.93 and 647.12

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Solution

The fourth proportional to 1,178.13, 1,625.93 and 647.12 is: 893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.13 : 1,625.93 = 647.12 : x
  2. Step 2: Convert to fraction form
    1,178.13/1,625.93 = 647.12/x
  3. Step 3: Cross multiply
    1,178.13x = 1,625.93 × 647.12
  4. Step 4: Simplify right side
    1,178.13x = 1,052,166.55
  5. Step 5: Solve for x
    x = 1,052,166.55/1,178.13
  6. Step 6: Final answer
    x = 893.08

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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.