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Finding the Fourth Proportional to 921.04, 1,380.58 and 457.90

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Solution

The fourth proportional to 921.04, 1,380.58 and 457.90 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.04 : 1,380.58 = 457.90 : x
  2. Step 2: Convert to fraction form
    921.04/1,380.58 = 457.90/x
  3. Step 3: Cross multiply
    921.04x = 1,380.58 × 457.90
  4. Step 4: Simplify right side
    921.04x = 632,162.99
  5. Step 5: Solve for x
    x = 632,162.99/921.04
  6. Step 6: Final answer
    x = 686.36

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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.