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Finding the Fourth Proportional to 924.41, 1,386.78 and 558.76

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Solution

The fourth proportional to 924.41, 1,386.78 and 558.76 is: 838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.41 : 1,386.78 = 558.76 : x
  2. Step 2: Convert to fraction form
    924.41/1,386.78 = 558.76/x
  3. Step 3: Cross multiply
    924.41x = 1,386.78 × 558.76
  4. Step 4: Simplify right side
    924.41x = 774,871.63
  5. Step 5: Solve for x
    x = 774,871.63/924.41
  6. Step 6: Final answer
    x = 838.24

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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.