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Finding the Fourth Proportional to 977.18, 1,464.69 and 456.40

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Solution

The fourth proportional to 977.18, 1,464.69 and 456.40 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,464.69 = 456.40 : x
  2. Step 2: Convert to fraction form
    977.18/1,464.69 = 456.40/x
  3. Step 3: Cross multiply
    977.18x = 1,464.69 × 456.40
  4. Step 4: Simplify right side
    977.18x = 668,484.52
  5. Step 5: Solve for x
    x = 668,484.52/977.18
  6. Step 6: Final answer
    x = 684.10

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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.