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Finding the Fourth Proportional to 765.26, 1,056.21 and 485.63

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Solution

The fourth proportional to 765.26, 1,056.21 and 485.63 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.26 : 1,056.21 = 485.63 : x
  2. Step 2: Convert to fraction form
    765.26/1,056.21 = 485.63/x
  3. Step 3: Cross multiply
    765.26x = 1,056.21 × 485.63
  4. Step 4: Simplify right side
    765.26x = 512,927.26
  5. Step 5: Solve for x
    x = 512,927.26/765.26
  6. Step 6: Final answer
    x = 670.27

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1.5x scale

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.