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Finding the Fourth Proportional to 714.99, 1,070.47 and 454.35

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Solution

The fourth proportional to 714.99, 1,070.47 and 454.35 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.99 : 1,070.47 = 454.35 : x
  2. Step 2: Convert to fraction form
    714.99/1,070.47 = 454.35/x
  3. Step 3: Cross multiply
    714.99x = 1,070.47 × 454.35
  4. Step 4: Simplify right side
    714.99x = 486,362.04
  5. Step 5: Solve for x
    x = 486,362.04/714.99
  6. Step 6: Final answer
    x = 680.23

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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.