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Finding the Fourth Proportional to 1,008.19, 1,390.82 and 654.08

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Solution

The fourth proportional to 1,008.19, 1,390.82 and 654.08 is: 902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.19 : 1,390.82 = 654.08 : x
  2. Step 2: Convert to fraction form
    1,008.19/1,390.82 = 654.08/x
  3. Step 3: Cross multiply
    1,008.19x = 1,390.82 × 654.08
  4. Step 4: Simplify right side
    1,008.19x = 909,707.55
  5. Step 5: Solve for x
    x = 909,707.55/1,008.19
  6. Step 6: Final answer
    x = 902.32

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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.