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Finding the Fourth Proportional to 590.04, 812.88 and 491.62

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Solution

The fourth proportional to 590.04, 812.88 and 491.62 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 812.88 = 491.62 : x
  2. Step 2: Convert to fraction form
    590.04/812.88 = 491.62/x
  3. Step 3: Cross multiply
    590.04x = 812.88 × 491.62
  4. Step 4: Simplify right side
    590.04x = 399,628.07
  5. Step 5: Solve for x
    x = 399,628.07/590.04
  6. Step 6: Final answer
    x = 677.29

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1.5x scale

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.