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Finding the Fourth Proportional to 923.37, 1,389.71 and 693.47

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Solution

The fourth proportional to 923.37, 1,389.71 and 693.47 is: 1,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.37 : 1,389.71 = 693.47 : x
  2. Step 2: Convert to fraction form
    923.37/1,389.71 = 693.47/x
  3. Step 3: Cross multiply
    923.37x = 1,389.71 × 693.47
  4. Step 4: Simplify right side
    923.37x = 963,719.59
  5. Step 5: Solve for x
    x = 963,719.59/923.37
  6. Step 6: Final answer
    x = 1,043.69

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1.5x scale

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.