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Finding the Fourth Proportional to 647.10, 965.96 and 598.92

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Solution

The fourth proportional to 647.10, 965.96 and 598.92 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 965.96 = 598.92 : x
  2. Step 2: Convert to fraction form
    647.10/965.96 = 598.92/x
  3. Step 3: Cross multiply
    647.10x = 965.96 × 598.92
  4. Step 4: Simplify right side
    647.10x = 578,532.76
  5. Step 5: Solve for x
    x = 578,532.76/647.10
  6. Step 6: Final answer
    x = 894.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.