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Finding the Fourth Proportional to 647.51, 893.32 and 395.53

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Solution

The fourth proportional to 647.51, 893.32 and 395.53 is: 545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.51 : 893.32 = 395.53 : x
  2. Step 2: Convert to fraction form
    647.51/893.32 = 395.53/x
  3. Step 3: Cross multiply
    647.51x = 893.32 × 395.53
  4. Step 4: Simplify right side
    647.51x = 353,331.64
  5. Step 5: Solve for x
    x = 353,331.64/647.51
  6. Step 6: Final answer
    x = 545.68

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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.