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Finding the Fourth Proportional to 876.40, 1,209.32 and 503.44

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Solution

The fourth proportional to 876.40, 1,209.32 and 503.44 is: 694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,209.32 = 503.44 : x
  2. Step 2: Convert to fraction form
    876.40/1,209.32 = 503.44/x
  3. Step 3: Cross multiply
    876.40x = 1,209.32 × 503.44
  4. Step 4: Simplify right side
    876.40x = 608,820.06
  5. Step 5: Solve for x
    x = 608,820.06/876.40
  6. Step 6: Final answer
    x = 694.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.