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Finding the Fourth Proportional to 1,497.45, 2,065.68 and 907.86

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Solution

The fourth proportional to 1,497.45, 2,065.68 and 907.86 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.45 : 2,065.68 = 907.86 : x
  2. Step 2: Convert to fraction form
    1,497.45/2,065.68 = 907.86/x
  3. Step 3: Cross multiply
    1,497.45x = 2,065.68 × 907.86
  4. Step 4: Simplify right side
    1,497.45x = 1,875,348.24
  5. Step 5: Solve for x
    x = 1,875,348.24/1,497.45
  6. Step 6: Final answer
    x = 1,252.36

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1.5x scale

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.