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Finding the Fourth Proportional to 1,646.68, 2,470.05 and 476.77

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Solution

The fourth proportional to 1,646.68, 2,470.05 and 476.77 is: 715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.68 : 2,470.05 = 476.77 : x
  2. Step 2: Convert to fraction form
    1,646.68/2,470.05 = 476.77/x
  3. Step 3: Cross multiply
    1,646.68x = 2,470.05 × 476.77
  4. Step 4: Simplify right side
    1,646.68x = 1,177,645.74
  5. Step 5: Solve for x
    x = 1,177,645.74/1,646.68
  6. Step 6: Final answer
    x = 715.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.