Home / 1,298.04-1,946.56-420.49

Finding the Fourth Proportional to 1,298.04, 1,946.56 and 420.49

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Solution

The fourth proportional to 1,298.04, 1,946.56 and 420.49 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.04 : 1,946.56 = 420.49 : x
  2. Step 2: Convert to fraction form
    1,298.04/1,946.56 = 420.49/x
  3. Step 3: Cross multiply
    1,298.04x = 1,946.56 × 420.49
  4. Step 4: Simplify right side
    1,298.04x = 818,509.01
  5. Step 5: Solve for x
    x = 818,509.01/1,298.04
  6. Step 6: Final answer
    x = 630.57

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1.5x scale

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.