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Finding the Fourth Proportional to 916.56, 1,262.76 and 829.20

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Solution

The fourth proportional to 916.56, 1,262.76 and 829.20 is: 1,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.56 : 1,262.76 = 829.20 : x
  2. Step 2: Convert to fraction form
    916.56/1,262.76 = 829.20/x
  3. Step 3: Cross multiply
    916.56x = 1,262.76 × 829.20
  4. Step 4: Simplify right side
    916.56x = 1,047,080.59
  5. Step 5: Solve for x
    x = 1,047,080.59/916.56
  6. Step 6: Final answer
    x = 1,142.40

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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.