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Finding the Fourth Proportional to 653.12, 977.58 and 457.88

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Solution

The fourth proportional to 653.12, 977.58 and 457.88 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.12 : 977.58 = 457.88 : x
  2. Step 2: Convert to fraction form
    653.12/977.58 = 457.88/x
  3. Step 3: Cross multiply
    653.12x = 977.58 × 457.88
  4. Step 4: Simplify right side
    653.12x = 447,614.33
  5. Step 5: Solve for x
    x = 447,614.33/653.12
  6. Step 6: Final answer
    x = 685.35

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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.