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Finding the Fourth Proportional to 924.25, 1,386.63 and 693.59

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Solution

The fourth proportional to 924.25, 1,386.63 and 693.59 is: 1,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.25 : 1,386.63 = 693.59 : x
  2. Step 2: Convert to fraction form
    924.25/1,386.63 = 693.59/x
  3. Step 3: Cross multiply
    924.25x = 1,386.63 × 693.59
  4. Step 4: Simplify right side
    924.25x = 961,752.70
  5. Step 5: Solve for x
    x = 961,752.70/924.25
  6. Step 6: Final answer
    x = 1,040.58

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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.