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Finding the Fourth Proportional to 876.90, 1,312.58 and 465.50

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Solution

The fourth proportional to 876.90, 1,312.58 and 465.50 is: 696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.90 : 1,312.58 = 465.50 : x
  2. Step 2: Convert to fraction form
    876.90/1,312.58 = 465.50/x
  3. Step 3: Cross multiply
    876.90x = 1,312.58 × 465.50
  4. Step 4: Simplify right side
    876.90x = 611,005.99
  5. Step 5: Solve for x
    x = 611,005.99/876.90
  6. Step 6: Final answer
    x = 696.78

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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.