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Finding the Fourth Proportional to 1,178.34, 1,626.12 and 654.40

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Solution

The fourth proportional to 1,178.34, 1,626.12 and 654.40 is: 903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.34 : 1,626.12 = 654.40 : x
  2. Step 2: Convert to fraction form
    1,178.34/1,626.12 = 654.40/x
  3. Step 3: Cross multiply
    1,178.34x = 1,626.12 × 654.40
  4. Step 4: Simplify right side
    1,178.34x = 1,064,132.93
  5. Step 5: Solve for x
    x = 1,064,132.93/1,178.34
  6. Step 6: Final answer
    x = 903.08

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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.