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Finding the Fourth Proportional to 1,577.09, 2,364.26 and 652.07

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Solution

The fourth proportional to 1,577.09, 2,364.26 and 652.07 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.09 : 2,364.26 = 652.07 : x
  2. Step 2: Convert to fraction form
    1,577.09/2,364.26 = 652.07/x
  3. Step 3: Cross multiply
    1,577.09x = 2,364.26 × 652.07
  4. Step 4: Simplify right side
    1,577.09x = 1,541,663.02
  5. Step 5: Solve for x
    x = 1,541,663.02/1,577.09
  6. Step 6: Final answer
    x = 977.54

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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.