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Finding the Fourth Proportional to 1,457.65, 2,187.37 and 580.01

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Solution

The fourth proportional to 1,457.65, 2,187.37 and 580.01 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.65 : 2,187.37 = 580.01 : x
  2. Step 2: Convert to fraction form
    1,457.65/2,187.37 = 580.01/x
  3. Step 3: Cross multiply
    1,457.65x = 2,187.37 × 580.01
  4. Step 4: Simplify right side
    1,457.65x = 1,268,686.26
  5. Step 5: Solve for x
    x = 1,268,686.26/1,457.65
  6. Step 6: Final answer
    x = 870.36

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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.