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Finding the Fourth Proportional to 566.79, 783.71 and 493.89

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Solution

The fourth proportional to 566.79, 783.71 and 493.89 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.79 : 783.71 = 493.89 : x
  2. Step 2: Convert to fraction form
    566.79/783.71 = 493.89/x
  3. Step 3: Cross multiply
    566.79x = 783.71 × 493.89
  4. Step 4: Simplify right side
    566.79x = 387,066.53
  5. Step 5: Solve for x
    x = 387,066.53/566.79
  6. Step 6: Final answer
    x = 682.91

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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.