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Finding the Fourth Proportional to 738.86, 1,019.76 and 614.36

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Solution

The fourth proportional to 738.86, 1,019.76 and 614.36 is: 847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.86 : 1,019.76 = 614.36 : x
  2. Step 2: Convert to fraction form
    738.86/1,019.76 = 614.36/x
  3. Step 3: Cross multiply
    738.86x = 1,019.76 × 614.36
  4. Step 4: Simplify right side
    738.86x = 626,499.75
  5. Step 5: Solve for x
    x = 626,499.75/738.86
  6. Step 6: Final answer
    x = 847.93

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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.