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Finding the Fourth Proportional to 647.86, 893.53 and 458.47

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Solution

The fourth proportional to 647.86, 893.53 and 458.47 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 893.53 = 458.47 : x
  2. Step 2: Convert to fraction form
    647.86/893.53 = 458.47/x
  3. Step 3: Cross multiply
    647.86x = 893.53 × 458.47
  4. Step 4: Simplify right side
    647.86x = 409,656.70
  5. Step 5: Solve for x
    x = 409,656.70/647.86
  6. Step 6: Final answer
    x = 632.32

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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.