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Finding the Fourth Proportional to 972.37, 1,457.20 and 601.39

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Solution

The fourth proportional to 972.37, 1,457.20 and 601.39 is: 901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.37 : 1,457.20 = 601.39 : x
  2. Step 2: Convert to fraction form
    972.37/1,457.20 = 601.39/x
  3. Step 3: Cross multiply
    972.37x = 1,457.20 × 601.39
  4. Step 4: Simplify right side
    972.37x = 876,345.51
  5. Step 5: Solve for x
    x = 876,345.51/972.37
  6. Step 6: Final answer
    x = 901.25

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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.