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Finding the Fourth Proportional to 977.40, 1,457.87 and 909.36

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Solution

The fourth proportional to 977.40, 1,457.87 and 909.36 is: 1,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.40 : 1,457.87 = 909.36 : x
  2. Step 2: Convert to fraction form
    977.40/1,457.87 = 909.36/x
  3. Step 3: Cross multiply
    977.40x = 1,457.87 × 909.36
  4. Step 4: Simplify right side
    977.40x = 1,325,724.12
  5. Step 5: Solve for x
    x = 1,325,724.12/977.40
  6. Step 6: Final answer
    x = 1,356.38

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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.