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Finding the Fourth Proportional to 582.95, 805.29 and 470.75

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Solution

The fourth proportional to 582.95, 805.29 and 470.75 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.95 : 805.29 = 470.75 : x
  2. Step 2: Convert to fraction form
    582.95/805.29 = 470.75/x
  3. Step 3: Cross multiply
    582.95x = 805.29 × 470.75
  4. Step 4: Simplify right side
    582.95x = 379,090.27
  5. Step 5: Solve for x
    x = 379,090.27/582.95
  6. Step 6: Final answer
    x = 650.30

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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.