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Finding the Fourth Proportional to 696.18, 961.77 and 457.48

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Solution

The fourth proportional to 696.18, 961.77 and 457.48 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.18 : 961.77 = 457.48 : x
  2. Step 2: Convert to fraction form
    696.18/961.77 = 457.48/x
  3. Step 3: Cross multiply
    696.18x = 961.77 × 457.48
  4. Step 4: Simplify right side
    696.18x = 439,988.05
  5. Step 5: Solve for x
    x = 439,988.05/696.18
  6. Step 6: Final answer
    x = 632.00

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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.