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Finding the Fourth Proportional to 974, 1,457.35 and 607.07

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Solution

The fourth proportional to 974, 1,457.35 and 607.07 is: 908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,457.35 = 607.07 : x
  2. Step 2: Convert to fraction form
    974/1,457.35 = 607.07/x
  3. Step 3: Cross multiply
    974x = 1,457.35 × 607.07
  4. Step 4: Simplify right side
    974x = 884,713.46
  5. Step 5: Solve for x
    x = 884,713.46/974
  6. Step 6: Final answer
    x = 908.33

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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.