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Finding the Fourth Proportional to 652.86, 900.72 and 431.60

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Solution

The fourth proportional to 652.86, 900.72 and 431.60 is: 595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.86 : 900.72 = 431.60 : x
  2. Step 2: Convert to fraction form
    652.86/900.72 = 431.60/x
  3. Step 3: Cross multiply
    652.86x = 900.72 × 431.60
  4. Step 4: Simplify right side
    652.86x = 388,746.25
  5. Step 5: Solve for x
    x = 388,746.25/652.86
  6. Step 6: Final answer
    x = 595.45

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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.