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Finding the Fourth Proportional to 972.13, 1,457.93 and 322.78

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Solution

The fourth proportional to 972.13, 1,457.93 and 322.78 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.13 : 1,457.93 = 322.78 : x
  2. Step 2: Convert to fraction form
    972.13/1,457.93 = 322.78/x
  3. Step 3: Cross multiply
    972.13x = 1,457.93 × 322.78
  4. Step 4: Simplify right side
    972.13x = 470,590.65
  5. Step 5: Solve for x
    x = 470,590.65/972.13
  6. Step 6: Final answer
    x = 484.08

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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.