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Finding the Fourth Proportional to 907.76, 1,254 and 612.88

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Solution

The fourth proportional to 907.76, 1,254 and 612.88 is: 846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.76 : 1,254 = 612.88 : x
  2. Step 2: Convert to fraction form
    907.76/1,254 = 612.88/x
  3. Step 3: Cross multiply
    907.76x = 1,254 × 612.88
  4. Step 4: Simplify right side
    907.76x = 768,551.52
  5. Step 5: Solve for x
    x = 768,551.52/907.76
  6. Step 6: Final answer
    x = 846.65

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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.