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Finding the Fourth Proportional to 583.30, 806.49 and 510.40

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Solution

The fourth proportional to 583.30, 806.49 and 510.40 is: 705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.30 : 806.49 = 510.40 : x
  2. Step 2: Convert to fraction form
    583.30/806.49 = 510.40/x
  3. Step 3: Cross multiply
    583.30x = 806.49 × 510.40
  4. Step 4: Simplify right side
    583.30x = 411,632.50
  5. Step 5: Solve for x
    x = 411,632.50/583.30
  6. Step 6: Final answer
    x = 705.70

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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.