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Finding the Fourth Proportional to 647.65, 894.40 and 412.04

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Solution

The fourth proportional to 647.65, 894.40 and 412.04 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.65 : 894.40 = 412.04 : x
  2. Step 2: Convert to fraction form
    647.65/894.40 = 412.04/x
  3. Step 3: Cross multiply
    647.65x = 894.40 × 412.04
  4. Step 4: Simplify right side
    647.65x = 368,528.75
  5. Step 5: Solve for x
    x = 368,528.75/647.65
  6. Step 6: Final answer
    x = 569.02

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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.