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Finding the Fourth Proportional to 583.07, 805.64 and 509.27

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Solution

The fourth proportional to 583.07, 805.64 and 509.27 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 805.64 = 509.27 : x
  2. Step 2: Convert to fraction form
    583.07/805.64 = 509.27/x
  3. Step 3: Cross multiply
    583.07x = 805.64 × 509.27
  4. Step 4: Simplify right side
    583.07x = 410,281.71
  5. Step 5: Solve for x
    x = 410,281.71/583.07
  6. Step 6: Final answer
    x = 703.66

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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.