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Finding the Fourth Proportional to 1,007.58, 1,389.51 and 613.74

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Solution

The fourth proportional to 1,007.58, 1,389.51 and 613.74 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.58 : 1,389.51 = 613.74 : x
  2. Step 2: Convert to fraction form
    1,007.58/1,389.51 = 613.74/x
  3. Step 3: Cross multiply
    1,007.58x = 1,389.51 × 613.74
  4. Step 4: Simplify right side
    1,007.58x = 852,797.87
  5. Step 5: Solve for x
    x = 852,797.87/1,007.58
  6. Step 6: Final answer
    x = 846.38

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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.