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Finding the Fourth Proportional to 933.52, 1,288.70 and 540.47

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Solution

The fourth proportional to 933.52, 1,288.70 and 540.47 is: 746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.52 : 1,288.70 = 540.47 : x
  2. Step 2: Convert to fraction form
    933.52/1,288.70 = 540.47/x
  3. Step 3: Cross multiply
    933.52x = 1,288.70 × 540.47
  4. Step 4: Simplify right side
    933.52x = 696,500.99
  5. Step 5: Solve for x
    x = 696,500.99/933.52
  6. Step 6: Final answer
    x = 746.10

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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.