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Finding the Fourth Proportional to 738.95, 1,106.82 and 430.49

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Solution

The fourth proportional to 738.95, 1,106.82 and 430.49 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.95 : 1,106.82 = 430.49 : x
  2. Step 2: Convert to fraction form
    738.95/1,106.82 = 430.49/x
  3. Step 3: Cross multiply
    738.95x = 1,106.82 × 430.49
  4. Step 4: Simplify right side
    738.95x = 476,477.71
  5. Step 5: Solve for x
    x = 476,477.71/738.95
  6. Step 6: Final answer
    x = 644.81

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Double scale
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1.5x scale

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.