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Finding the Fourth Proportional to 1,653.04, 2,281.20 and 907

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Solution

The fourth proportional to 1,653.04, 2,281.20 and 907 is: 1,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.04 : 2,281.20 = 907 : x
  2. Step 2: Convert to fraction form
    1,653.04/2,281.20 = 907/x
  3. Step 3: Cross multiply
    1,653.04x = 2,281.20 × 907
  4. Step 4: Simplify right side
    1,653.04x = 2,069,048.40
  5. Step 5: Solve for x
    x = 2,069,048.40/1,653.04
  6. Step 6: Final answer
    x = 1,251.66

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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.