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Finding the Fourth Proportional to 830.52, 1,146.04 and 476.48

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Solution

The fourth proportional to 830.52, 1,146.04 and 476.48 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,146.04 = 476.48 : x
  2. Step 2: Convert to fraction form
    830.52/1,146.04 = 476.48/x
  3. Step 3: Cross multiply
    830.52x = 1,146.04 × 476.48
  4. Step 4: Simplify right side
    830.52x = 546,065.14
  5. Step 5: Solve for x
    x = 546,065.14/830.52
  6. Step 6: Final answer
    x = 657.50

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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.