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Finding the Fourth Proportional to 977.04, 1,455.69 and 930.60

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Solution

The fourth proportional to 977.04, 1,455.69 and 930.60 is: 1,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,455.69 = 930.60 : x
  2. Step 2: Convert to fraction form
    977.04/1,455.69 = 930.60/x
  3. Step 3: Cross multiply
    977.04x = 1,455.69 × 930.60
  4. Step 4: Simplify right side
    977.04x = 1,354,665.11
  5. Step 5: Solve for x
    x = 1,354,665.11/977.04
  6. Step 6: Final answer
    x = 1,386.50

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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.