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Finding the Fourth Proportional to 972.36, 1,464.59 and 904.74

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Solution

The fourth proportional to 972.36, 1,464.59 and 904.74 is: 1,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,464.59 = 904.74 : x
  2. Step 2: Convert to fraction form
    972.36/1,464.59 = 904.74/x
  3. Step 3: Cross multiply
    972.36x = 1,464.59 × 904.74
  4. Step 4: Simplify right side
    972.36x = 1,325,068.63
  5. Step 5: Solve for x
    x = 1,325,068.63/972.36
  6. Step 6: Final answer
    x = 1,362.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.