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Finding the Fourth Proportional to 560.23, 772.94 and 373.75

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Solution

The fourth proportional to 560.23, 772.94 and 373.75 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 772.94 = 373.75 : x
  2. Step 2: Convert to fraction form
    560.23/772.94 = 373.75/x
  3. Step 3: Cross multiply
    560.23x = 772.94 × 373.75
  4. Step 4: Simplify right side
    560.23x = 288,885.42
  5. Step 5: Solve for x
    x = 288,885.42/560.23
  6. Step 6: Final answer
    x = 515.66

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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.