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Finding the Fourth Proportional to 876.80, 1,210.01 and 478.49

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Solution

The fourth proportional to 876.80, 1,210.01 and 478.49 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.80 : 1,210.01 = 478.49 : x
  2. Step 2: Convert to fraction form
    876.80/1,210.01 = 478.49/x
  3. Step 3: Cross multiply
    876.80x = 1,210.01 × 478.49
  4. Step 4: Simplify right side
    876.80x = 578,969.24
  5. Step 5: Solve for x
    x = 578,969.24/876.80
  6. Step 6: Final answer
    x = 660.32

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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.