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Finding the Fourth Proportional to 923.40, 1,386.70 and 894.60

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Solution

The fourth proportional to 923.40, 1,386.70 and 894.60 is: 1,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,386.70 = 894.60 : x
  2. Step 2: Convert to fraction form
    923.40/1,386.70 = 894.60/x
  3. Step 3: Cross multiply
    923.40x = 1,386.70 × 894.60
  4. Step 4: Simplify right side
    923.40x = 1,240,541.82
  5. Step 5: Solve for x
    x = 1,240,541.82/923.40
  6. Step 6: Final answer
    x = 1,343.45

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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.