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Finding the Fourth Proportional to 1,653.07, 2,281.26 and 907.10

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Solution

The fourth proportional to 1,653.07, 2,281.26 and 907.10 is: 1,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.07 : 2,281.26 = 907.10 : x
  2. Step 2: Convert to fraction form
    1,653.07/2,281.26 = 907.10/x
  3. Step 3: Cross multiply
    1,653.07x = 2,281.26 × 907.10
  4. Step 4: Simplify right side
    1,653.07x = 2,069,330.95
  5. Step 5: Solve for x
    x = 2,069,330.95/1,653.07
  6. Step 6: Final answer
    x = 1,251.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.