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Finding the Fourth Proportional to 647.59, 896.03 and 564.87

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Solution

The fourth proportional to 647.59, 896.03 and 564.87 is: 781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.59 : 896.03 = 564.87 : x
  2. Step 2: Convert to fraction form
    647.59/896.03 = 564.87/x
  3. Step 3: Cross multiply
    647.59x = 896.03 × 564.87
  4. Step 4: Simplify right side
    647.59x = 506,140.47
  5. Step 5: Solve for x
    x = 506,140.47/647.59
  6. Step 6: Final answer
    x = 781.58

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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.