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Finding the Fourth Proportional to 830.04, 1,145.91 and 578.33

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Solution

The fourth proportional to 830.04, 1,145.91 and 578.33 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.04 : 1,145.91 = 578.33 : x
  2. Step 2: Convert to fraction form
    830.04/1,145.91 = 578.33/x
  3. Step 3: Cross multiply
    830.04x = 1,145.91 × 578.33
  4. Step 4: Simplify right side
    830.04x = 662,714.13
  5. Step 5: Solve for x
    x = 662,714.13/830.04
  6. Step 6: Final answer
    x = 798.41

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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.