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Finding the Fourth Proportional to 582.90, 870.07 and 506.40

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Solution

The fourth proportional to 582.90, 870.07 and 506.40 is: 755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 870.07 = 506.40 : x
  2. Step 2: Convert to fraction form
    582.90/870.07 = 506.40/x
  3. Step 3: Cross multiply
    582.90x = 870.07 × 506.40
  4. Step 4: Simplify right side
    582.90x = 440,599.10
  5. Step 5: Solve for x
    x = 440,599.10/582.90
  6. Step 6: Final answer
    x = 755.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.