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Finding the Fourth Proportional to 1,574.30, 2,364.15 and 845.30

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Solution

The fourth proportional to 1,574.30, 2,364.15 and 845.30 is: 1,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.30 : 2,364.15 = 845.30 : x
  2. Step 2: Convert to fraction form
    1,574.30/2,364.15 = 845.30/x
  3. Step 3: Cross multiply
    1,574.30x = 2,364.15 × 845.30
  4. Step 4: Simplify right side
    1,574.30x = 1,998,416.00
  5. Step 5: Solve for x
    x = 1,998,416.00/1,574.30
  6. Step 6: Final answer
    x = 1,269.40

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1.5x scale

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.