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Finding the Fourth Proportional to 761.89, 1,050.68 and 525.46

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Solution

The fourth proportional to 761.89, 1,050.68 and 525.46 is: 724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.89 : 1,050.68 = 525.46 : x
  2. Step 2: Convert to fraction form
    761.89/1,050.68 = 525.46/x
  3. Step 3: Cross multiply
    761.89x = 1,050.68 × 525.46
  4. Step 4: Simplify right side
    761.89x = 552,090.31
  5. Step 5: Solve for x
    x = 552,090.31/761.89
  6. Step 6: Final answer
    x = 724.63

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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.