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Finding the Fourth Proportional to 924.35, 1,281.11 and 907.07

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Solution

The fourth proportional to 924.35, 1,281.11 and 907.07 is: 1,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.35 : 1,281.11 = 907.07 : x
  2. Step 2: Convert to fraction form
    924.35/1,281.11 = 907.07/x
  3. Step 3: Cross multiply
    924.35x = 1,281.11 × 907.07
  4. Step 4: Simplify right side
    924.35x = 1,162,045.51
  5. Step 5: Solve for x
    x = 1,162,045.51/924.35
  6. Step 6: Final answer
    x = 1,257.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.