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Finding the Fourth Proportional to 647.79, 973.31 and 608.91

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Solution

The fourth proportional to 647.79, 973.31 and 608.91 is: 914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.79 : 973.31 = 608.91 : x
  2. Step 2: Convert to fraction form
    647.79/973.31 = 608.91/x
  3. Step 3: Cross multiply
    647.79x = 973.31 × 608.91
  4. Step 4: Simplify right side
    647.79x = 592,655.15
  5. Step 5: Solve for x
    x = 592,655.15/647.79
  6. Step 6: Final answer
    x = 914.89

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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.