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Finding the Fourth Proportional to 976.69, 1,457.95 and 904.42

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Solution

The fourth proportional to 976.69, 1,457.95 and 904.42 is: 1,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.69 : 1,457.95 = 904.42 : x
  2. Step 2: Convert to fraction form
    976.69/1,457.95 = 904.42/x
  3. Step 3: Cross multiply
    976.69x = 1,457.95 × 904.42
  4. Step 4: Simplify right side
    976.69x = 1,318,599.14
  5. Step 5: Solve for x
    x = 1,318,599.14/976.69
  6. Step 6: Final answer
    x = 1,350.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.