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Finding the Fourth Proportional to 564.03, 839.76 and 555.93

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Solution

The fourth proportional to 564.03, 839.76 and 555.93 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 839.76 = 555.93 : x
  2. Step 2: Convert to fraction form
    564.03/839.76 = 555.93/x
  3. Step 3: Cross multiply
    564.03x = 839.76 × 555.93
  4. Step 4: Simplify right side
    564.03x = 466,845.00
  5. Step 5: Solve for x
    x = 466,845.00/564.03
  6. Step 6: Final answer
    x = 827.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.