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Finding the Fourth Proportional to 830.33, 1,145.63 and 655.13

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Solution

The fourth proportional to 830.33, 1,145.63 and 655.13 is: 903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.33 : 1,145.63 = 655.13 : x
  2. Step 2: Convert to fraction form
    830.33/1,145.63 = 655.13/x
  3. Step 3: Cross multiply
    830.33x = 1,145.63 × 655.13
  4. Step 4: Simplify right side
    830.33x = 750,533.31
  5. Step 5: Solve for x
    x = 750,533.31/830.33
  6. Step 6: Final answer
    x = 903.90

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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.