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Finding the Fourth Proportional to 652.91, 899.84 and 569.07

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Solution

The fourth proportional to 652.91, 899.84 and 569.07 is: 784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.91 : 899.84 = 569.07 : x
  2. Step 2: Convert to fraction form
    652.91/899.84 = 569.07/x
  3. Step 3: Cross multiply
    652.91x = 899.84 × 569.07
  4. Step 4: Simplify right side
    652.91x = 512,073.37
  5. Step 5: Solve for x
    x = 512,073.37/652.91
  6. Step 6: Final answer
    x = 784.30

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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.