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Finding the Fourth Proportional to 829.53, 1,146.06 and 700.74

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Solution

The fourth proportional to 829.53, 1,146.06 and 700.74 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,146.06 = 700.74 : x
  2. Step 2: Convert to fraction form
    829.53/1,146.06 = 700.74/x
  3. Step 3: Cross multiply
    829.53x = 1,146.06 × 700.74
  4. Step 4: Simplify right side
    829.53x = 803,090.08
  5. Step 5: Solve for x
    x = 803,090.08/829.53
  6. Step 6: Final answer
    x = 968.13

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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.