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Finding the Fourth Proportional to 1,340.60, 2,007.30 and 973.40

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Solution

The fourth proportional to 1,340.60, 2,007.30 and 973.40 is: 1,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.60 : 2,007.30 = 973.40 : x
  2. Step 2: Convert to fraction form
    1,340.60/2,007.30 = 973.40/x
  3. Step 3: Cross multiply
    1,340.60x = 2,007.30 × 973.40
  4. Step 4: Simplify right side
    1,340.60x = 1,953,905.82
  5. Step 5: Solve for x
    x = 1,953,905.82/1,340.60
  6. Step 6: Final answer
    x = 1,457.49

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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.