Home / 1,457.04-2,011.08-984.72

Finding the Fourth Proportional to 1,457.04, 2,011.08 and 984.72

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Solution

The fourth proportional to 1,457.04, 2,011.08 and 984.72 is: 1,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.04 : 2,011.08 = 984.72 : x
  2. Step 2: Convert to fraction form
    1,457.04/2,011.08 = 984.72/x
  3. Step 3: Cross multiply
    1,457.04x = 2,011.08 × 984.72
  4. Step 4: Simplify right side
    1,457.04x = 1,980,350.70
  5. Step 5: Solve for x
    x = 1,980,350.70/1,457.04
  6. Step 6: Final answer
    x = 1,359.16

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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.