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Finding the Fourth Proportional to 1,473.59, 2,032.70 and 920.63

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Solution

The fourth proportional to 1,473.59, 2,032.70 and 920.63 is: 1,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.59 : 2,032.70 = 920.63 : x
  2. Step 2: Convert to fraction form
    1,473.59/2,032.70 = 920.63/x
  3. Step 3: Cross multiply
    1,473.59x = 2,032.70 × 920.63
  4. Step 4: Simplify right side
    1,473.59x = 1,871,356.74
  5. Step 5: Solve for x
    x = 1,871,356.74/1,473.59
  6. Step 6: Final answer
    x = 1,269.93

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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.