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Finding the Fourth Proportional to 1,155.28, 1,594.62 and 735.64

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Solution

The fourth proportional to 1,155.28, 1,594.62 and 735.64 is: 1,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.28 : 1,594.62 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,155.28/1,594.62 = 735.64/x
  3. Step 3: Cross multiply
    1,155.28x = 1,594.62 × 735.64
  4. Step 4: Simplify right side
    1,155.28x = 1,173,066.26
  5. Step 5: Solve for x
    x = 1,173,066.26/1,155.28
  6. Step 6: Final answer
    x = 1,015.40

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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.