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Finding the Fourth Proportional to 977.08, 1,464.68 and 429.16

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Solution

The fourth proportional to 977.08, 1,464.68 and 429.16 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.08 : 1,464.68 = 429.16 : x
  2. Step 2: Convert to fraction form
    977.08/1,464.68 = 429.16/x
  3. Step 3: Cross multiply
    977.08x = 1,464.68 × 429.16
  4. Step 4: Simplify right side
    977.08x = 628,582.07
  5. Step 5: Solve for x
    x = 628,582.07/977.08
  6. Step 6: Final answer
    x = 643.33

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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.