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Finding the Fourth Proportional to 1,052.95, 1,570.80 and 978.37

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Solution

The fourth proportional to 1,052.95, 1,570.80 and 978.37 is: 1,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.95 : 1,570.80 = 978.37 : x
  2. Step 2: Convert to fraction form
    1,052.95/1,570.80 = 978.37/x
  3. Step 3: Cross multiply
    1,052.95x = 1,570.80 × 978.37
  4. Step 4: Simplify right side
    1,052.95x = 1,536,823.60
  5. Step 5: Solve for x
    x = 1,536,823.60/1,052.95
  6. Step 6: Final answer
    x = 1,459.54

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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.