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Finding the Fourth Proportional to 652.54, 899.26 and 512.31

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Solution

The fourth proportional to 652.54, 899.26 and 512.31 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 899.26 = 512.31 : x
  2. Step 2: Convert to fraction form
    652.54/899.26 = 512.31/x
  3. Step 3: Cross multiply
    652.54x = 899.26 × 512.31
  4. Step 4: Simplify right side
    652.54x = 460,699.89
  5. Step 5: Solve for x
    x = 460,699.89/652.54
  6. Step 6: Final answer
    x = 706.01

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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.