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Finding the Fourth Proportional to 647.10, 892.35 and 598.50

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Solution

The fourth proportional to 647.10, 892.35 and 598.50 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 892.35 = 598.50 : x
  2. Step 2: Convert to fraction form
    647.10/892.35 = 598.50/x
  3. Step 3: Cross multiply
    647.10x = 892.35 × 598.50
  4. Step 4: Simplify right side
    647.10x = 534,071.48
  5. Step 5: Solve for x
    x = 534,071.48/647.10
  6. Step 6: Final answer
    x = 825.33

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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.