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Finding the Fourth Proportional to 977.67, 1,459.42 and 885.60

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Solution

The fourth proportional to 977.67, 1,459.42 and 885.60 is: 1,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,459.42 = 885.60 : x
  2. Step 2: Convert to fraction form
    977.67/1,459.42 = 885.60/x
  3. Step 3: Cross multiply
    977.67x = 1,459.42 × 885.60
  4. Step 4: Simplify right side
    977.67x = 1,292,460.14
  5. Step 5: Solve for x
    x = 1,292,460.14/977.67
  6. Step 6: Final answer
    x = 1,321.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.