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Finding the Fourth Proportional to 738.75, 1,019.61 and 428.43

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Solution

The fourth proportional to 738.75, 1,019.61 and 428.43 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.75 : 1,019.61 = 428.43 : x
  2. Step 2: Convert to fraction form
    738.75/1,019.61 = 428.43/x
  3. Step 3: Cross multiply
    738.75x = 1,019.61 × 428.43
  4. Step 4: Simplify right side
    738.75x = 436,831.51
  5. Step 5: Solve for x
    x = 436,831.51/738.75
  6. Step 6: Final answer
    x = 591.31

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Find fourth proportional to 369.38, 509.81 and 214.22
Half scale
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Double scale
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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.