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Finding the Fourth Proportional to 1,748.39, 2,621.90 and 652.16

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Solution

The fourth proportional to 1,748.39, 2,621.90 and 652.16 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.39 : 2,621.90 = 652.16 : x
  2. Step 2: Convert to fraction form
    1,748.39/2,621.90 = 652.16/x
  3. Step 3: Cross multiply
    1,748.39x = 2,621.90 × 652.16
  4. Step 4: Simplify right side
    1,748.39x = 1,709,881.93
  5. Step 5: Solve for x
    x = 1,709,881.93/1,748.39
  6. Step 6: Final answer
    x = 977.98

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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.