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Finding the Fourth Proportional to 1,145.09, 1,580.30 and 647.75

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Solution

The fourth proportional to 1,145.09, 1,580.30 and 647.75 is: 893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.09 : 1,580.30 = 647.75 : x
  2. Step 2: Convert to fraction form
    1,145.09/1,580.30 = 647.75/x
  3. Step 3: Cross multiply
    1,145.09x = 1,580.30 × 647.75
  4. Step 4: Simplify right side
    1,145.09x = 1,023,628.18
  5. Step 5: Solve for x
    x = 1,023,628.18/1,145.09
  6. Step 6: Final answer
    x = 893.93

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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.