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Finding the Fourth Proportional to 977.58, 1,465.68 and 457.29

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Solution

The fourth proportional to 977.58, 1,465.68 and 457.29 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,465.68 = 457.29 : x
  2. Step 2: Convert to fraction form
    977.58/1,465.68 = 457.29/x
  3. Step 3: Cross multiply
    977.58x = 1,465.68 × 457.29
  4. Step 4: Simplify right side
    977.58x = 670,240.81
  5. Step 5: Solve for x
    x = 670,240.81/977.58
  6. Step 6: Final answer
    x = 685.61

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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.