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Finding the Fourth Proportional to 931.26, 1,285.10 and 511.60

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Solution

The fourth proportional to 931.26, 1,285.10 and 511.60 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.26 : 1,285.10 = 511.60 : x
  2. Step 2: Convert to fraction form
    931.26/1,285.10 = 511.60/x
  3. Step 3: Cross multiply
    931.26x = 1,285.10 × 511.60
  4. Step 4: Simplify right side
    931.26x = 657,457.16
  5. Step 5: Solve for x
    x = 657,457.16/931.26
  6. Step 6: Final answer
    x = 705.99

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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.