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Finding the Fourth Proportional to 924.33, 1,386.57 and 339.48

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Solution

The fourth proportional to 924.33, 1,386.57 and 339.48 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.33 : 1,386.57 = 339.48 : x
  2. Step 2: Convert to fraction form
    924.33/1,386.57 = 339.48/x
  3. Step 3: Cross multiply
    924.33x = 1,386.57 × 339.48
  4. Step 4: Simplify right side
    924.33x = 470,712.78
  5. Step 5: Solve for x
    x = 470,712.78/924.33
  6. Step 6: Final answer
    x = 509.25

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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.