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Finding the Fourth Proportional to 568.16, 783.59 and 400.66

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Solution

The fourth proportional to 568.16, 783.59 and 400.66 is: 552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.16 : 783.59 = 400.66 : x
  2. Step 2: Convert to fraction form
    568.16/783.59 = 400.66/x
  3. Step 3: Cross multiply
    568.16x = 783.59 × 400.66
  4. Step 4: Simplify right side
    568.16x = 313,955.87
  5. Step 5: Solve for x
    x = 313,955.87/568.16
  6. Step 6: Final answer
    x = 552.58

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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.