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Finding the Fourth Proportional to 656.26, 904.95 and 590.15

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Solution

The fourth proportional to 656.26, 904.95 and 590.15 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.26 : 904.95 = 590.15 : x
  2. Step 2: Convert to fraction form
    656.26/904.95 = 590.15/x
  3. Step 3: Cross multiply
    656.26x = 904.95 × 590.15
  4. Step 4: Simplify right side
    656.26x = 534,058.50
  5. Step 5: Solve for x
    x = 534,058.50/656.26
  6. Step 6: Final answer
    x = 813.79

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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.