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Finding the Fourth Proportional to 1,457.80, 2,012.30 and 898.36

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Solution

The fourth proportional to 1,457.80, 2,012.30 and 898.36 is: 1,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.80 : 2,012.30 = 898.36 : x
  2. Step 2: Convert to fraction form
    1,457.80/2,012.30 = 898.36/x
  3. Step 3: Cross multiply
    1,457.80x = 2,012.30 × 898.36
  4. Step 4: Simplify right side
    1,457.80x = 1,807,769.83
  5. Step 5: Solve for x
    x = 1,807,769.83/1,457.80
  6. Step 6: Final answer
    x = 1,240.07

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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.