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Finding the Fourth Proportional to 953.31, 1,430.43 and 520.46

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Solution

The fourth proportional to 953.31, 1,430.43 and 520.46 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.31 : 1,430.43 = 520.46 : x
  2. Step 2: Convert to fraction form
    953.31/1,430.43 = 520.46/x
  3. Step 3: Cross multiply
    953.31x = 1,430.43 × 520.46
  4. Step 4: Simplify right side
    953.31x = 744,471.84
  5. Step 5: Solve for x
    x = 744,471.84/953.31
  6. Step 6: Final answer
    x = 780.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.