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Finding the Fourth Proportional to 1,316.48, 1,973.66 and 904.39

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Solution

The fourth proportional to 1,316.48, 1,973.66 and 904.39 is: 1,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.48 : 1,973.66 = 904.39 : x
  2. Step 2: Convert to fraction form
    1,316.48/1,973.66 = 904.39/x
  3. Step 3: Cross multiply
    1,316.48x = 1,973.66 × 904.39
  4. Step 4: Simplify right side
    1,316.48x = 1,784,948.91
  5. Step 5: Solve for x
    x = 1,784,948.91/1,316.48
  6. Step 6: Final answer
    x = 1,355.85

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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.