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Finding the Fourth Proportional to 566.18, 780.75 and 472.89

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Solution

The fourth proportional to 566.18, 780.75 and 472.89 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.18 : 780.75 = 472.89 : x
  2. Step 2: Convert to fraction form
    566.18/780.75 = 472.89/x
  3. Step 3: Cross multiply
    566.18x = 780.75 × 472.89
  4. Step 4: Simplify right side
    566.18x = 369,208.45
  5. Step 5: Solve for x
    x = 369,208.45/566.18
  6. Step 6: Final answer
    x = 652.11

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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.