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Finding the Fourth Proportional to 582.80, 805.80 and 509.90

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Solution

The fourth proportional to 582.80, 805.80 and 509.90 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 805.80 = 509.90 : x
  2. Step 2: Convert to fraction form
    582.80/805.80 = 509.90/x
  3. Step 3: Cross multiply
    582.80x = 805.80 × 509.90
  4. Step 4: Simplify right side
    582.80x = 410,877.42
  5. Step 5: Solve for x
    x = 410,877.42/582.80
  6. Step 6: Final answer
    x = 705.01

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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.