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Finding the Fourth Proportional to 647.07, 971.08 and 485.19

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Solution

The fourth proportional to 647.07, 971.08 and 485.19 is: 728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.07 : 971.08 = 485.19 : x
  2. Step 2: Convert to fraction form
    647.07/971.08 = 485.19/x
  3. Step 3: Cross multiply
    647.07x = 971.08 × 485.19
  4. Step 4: Simplify right side
    647.07x = 471,155.88
  5. Step 5: Solve for x
    x = 471,155.88/647.07
  6. Step 6: Final answer
    x = 728.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.