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Finding the Fourth Proportional to 772.50, 1,065.80 and 457.86

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Solution

The fourth proportional to 772.50, 1,065.80 and 457.86 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,065.80 = 457.86 : x
  2. Step 2: Convert to fraction form
    772.50/1,065.80 = 457.86/x
  3. Step 3: Cross multiply
    772.50x = 1,065.80 × 457.86
  4. Step 4: Simplify right side
    772.50x = 487,984.90
  5. Step 5: Solve for x
    x = 487,984.90/772.50
  6. Step 6: Final answer
    x = 631.70

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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.