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Finding the Fourth Proportional to 651.63, 977.45 and 572.35

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Solution

The fourth proportional to 651.63, 977.45 and 572.35 is: 858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 977.45 = 572.35 : x
  2. Step 2: Convert to fraction form
    651.63/977.45 = 572.35/x
  3. Step 3: Cross multiply
    651.63x = 977.45 × 572.35
  4. Step 4: Simplify right side
    651.63x = 559,443.51
  5. Step 5: Solve for x
    x = 559,443.51/651.63
  6. Step 6: Final answer
    x = 858.53

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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.