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Finding the Fourth Proportional to 652.86, 901.44 and 513.66

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Solution

The fourth proportional to 652.86, 901.44 and 513.66 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.86 : 901.44 = 513.66 : x
  2. Step 2: Convert to fraction form
    652.86/901.44 = 513.66/x
  3. Step 3: Cross multiply
    652.86x = 901.44 × 513.66
  4. Step 4: Simplify right side
    652.86x = 463,033.67
  5. Step 5: Solve for x
    x = 463,033.67/652.86
  6. Step 6: Final answer
    x = 709.24

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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.