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Finding the Fourth Proportional to 946.48, 1,306 and 553.36

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Solution

The fourth proportional to 946.48, 1,306 and 553.36 is: 763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.48 : 1,306 = 553.36 : x
  2. Step 2: Convert to fraction form
    946.48/1,306 = 553.36/x
  3. Step 3: Cross multiply
    946.48x = 1,306 × 553.36
  4. Step 4: Simplify right side
    946.48x = 722,688.16
  5. Step 5: Solve for x
    x = 722,688.16/946.48
  6. Step 6: Final answer
    x = 763.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.