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Finding the Fourth Proportional to 904.50, 1,349.75 and 807.30

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Solution

The fourth proportional to 904.50, 1,349.75 and 807.30 is: 1,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 1,349.75 = 807.30 : x
  2. Step 2: Convert to fraction form
    904.50/1,349.75 = 807.30/x
  3. Step 3: Cross multiply
    904.50x = 1,349.75 × 807.30
  4. Step 4: Simplify right side
    904.50x = 1,089,653.18
  5. Step 5: Solve for x
    x = 1,089,653.18/904.50
  6. Step 6: Final answer
    x = 1,204.70

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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.