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Finding the Fourth Proportional to 469.07, 647.15 and 312

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Solution

The fourth proportional to 469.07, 647.15 and 312 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.07 : 647.15 = 312 : x
  2. Step 2: Convert to fraction form
    469.07/647.15 = 312/x
  3. Step 3: Cross multiply
    469.07x = 647.15 × 312
  4. Step 4: Simplify right side
    469.07x = 201,910.80
  5. Step 5: Solve for x
    x = 201,910.80/469.07
  6. Step 6: Final answer
    x = 430.45

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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.