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Finding the Fourth Proportional to 923.59, 1,386.60 and 649.81

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Solution

The fourth proportional to 923.59, 1,386.60 and 649.81 is: 975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.59 : 1,386.60 = 649.81 : x
  2. Step 2: Convert to fraction form
    923.59/1,386.60 = 649.81/x
  3. Step 3: Cross multiply
    923.59x = 1,386.60 × 649.81
  4. Step 4: Simplify right side
    923.59x = 901,026.55
  5. Step 5: Solve for x
    x = 901,026.55/923.59
  6. Step 6: Final answer
    x = 975.57

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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.