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Finding the Fourth Proportional to 977.66, 1,465.35 and 539.18

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Solution

The fourth proportional to 977.66, 1,465.35 and 539.18 is: 808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.66 : 1,465.35 = 539.18 : x
  2. Step 2: Convert to fraction form
    977.66/1,465.35 = 539.18/x
  3. Step 3: Cross multiply
    977.66x = 1,465.35 × 539.18
  4. Step 4: Simplify right side
    977.66x = 790,078.79
  5. Step 5: Solve for x
    x = 790,078.79/977.66
  6. Step 6: Final answer
    x = 808.13

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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.