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Finding the Fourth Proportional to 978.60, 1,460.77 and 855.60

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Solution

The fourth proportional to 978.60, 1,460.77 and 855.60 is: 1,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.60 : 1,460.77 = 855.60 : x
  2. Step 2: Convert to fraction form
    978.60/1,460.77 = 855.60/x
  3. Step 3: Cross multiply
    978.60x = 1,460.77 × 855.60
  4. Step 4: Simplify right side
    978.60x = 1,249,830.53
  5. Step 5: Solve for x
    x = 1,249,830.53/978.60
  6. Step 6: Final answer
    x = 1,277.16

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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.