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Finding the Fourth Proportional to 561.65, 832.55 and 552.94

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Solution

The fourth proportional to 561.65, 832.55 and 552.94 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 832.55 = 552.94 : x
  2. Step 2: Convert to fraction form
    561.65/832.55 = 552.94/x
  3. Step 3: Cross multiply
    561.65x = 832.55 × 552.94
  4. Step 4: Simplify right side
    561.65x = 460,345.35
  5. Step 5: Solve for x
    x = 460,345.35/561.65
  6. Step 6: Final answer
    x = 819.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.