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Finding the Fourth Proportional to 2,977.04, 4,465.57 and 897.05

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Solution

The fourth proportional to 2,977.04, 4,465.57 and 897.05 is: 1,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.04 : 4,465.57 = 897.05 : x
  2. Step 2: Convert to fraction form
    2,977.04/4,465.57 = 897.05/x
  3. Step 3: Cross multiply
    2,977.04x = 4,465.57 × 897.05
  4. Step 4: Simplify right side
    2,977.04x = 4,005,839.57
  5. Step 5: Solve for x
    x = 4,005,839.57/2,977.04
  6. Step 6: Final answer
    x = 1,345.58

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Similar ratio
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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.