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Finding the Fourth Proportional to 876.54, 1,209.76 and 522.48

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Solution

The fourth proportional to 876.54, 1,209.76 and 522.48 is: 721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.54 : 1,209.76 = 522.48 : x
  2. Step 2: Convert to fraction form
    876.54/1,209.76 = 522.48/x
  3. Step 3: Cross multiply
    876.54x = 1,209.76 × 522.48
  4. Step 4: Simplify right side
    876.54x = 632,075.40
  5. Step 5: Solve for x
    x = 632,075.40/876.54
  6. Step 6: Final answer
    x = 721.10

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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.