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Finding the Fourth Proportional to 977.51, 1,465.92 and 490.23

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Solution

The fourth proportional to 977.51, 1,465.92 and 490.23 is: 735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.51 : 1,465.92 = 490.23 : x
  2. Step 2: Convert to fraction form
    977.51/1,465.92 = 490.23/x
  3. Step 3: Cross multiply
    977.51x = 1,465.92 × 490.23
  4. Step 4: Simplify right side
    977.51x = 718,637.96
  5. Step 5: Solve for x
    x = 718,637.96/977.51
  6. Step 6: Final answer
    x = 735.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.