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Finding the Fourth Proportional to 590.72, 887.16 and 469.76

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Solution

The fourth proportional to 590.72, 887.16 and 469.76 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 887.16 = 469.76 : x
  2. Step 2: Convert to fraction form
    590.72/887.16 = 469.76/x
  3. Step 3: Cross multiply
    590.72x = 887.16 × 469.76
  4. Step 4: Simplify right side
    590.72x = 416,752.28
  5. Step 5: Solve for x
    x = 416,752.28/590.72
  6. Step 6: Final answer
    x = 705.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.