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Finding the Fourth Proportional to 830.02, 1,145.06 and 564.14

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Solution

The fourth proportional to 830.02, 1,145.06 and 564.14 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.02 : 1,145.06 = 564.14 : x
  2. Step 2: Convert to fraction form
    830.02/1,145.06 = 564.14/x
  3. Step 3: Cross multiply
    830.02x = 1,145.06 × 564.14
  4. Step 4: Simplify right side
    830.02x = 645,974.15
  5. Step 5: Solve for x
    x = 645,974.15/830.02
  6. Step 6: Final answer
    x = 778.26

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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.