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Finding the Fourth Proportional to 1,166.60, 1,748.08 and 646.32

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Solution

The fourth proportional to 1,166.60, 1,748.08 and 646.32 is: 968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.60 : 1,748.08 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,166.60/1,748.08 = 646.32/x
  3. Step 3: Cross multiply
    1,166.60x = 1,748.08 × 646.32
  4. Step 4: Simplify right side
    1,166.60x = 1,129,819.07
  5. Step 5: Solve for x
    x = 1,129,819.07/1,166.60
  6. Step 6: Final answer
    x = 968.47

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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.