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Finding the Fourth Proportional to 647.94, 975.42 and 590.53

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Solution

The fourth proportional to 647.94, 975.42 and 590.53 is: 888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 975.42 = 590.53 : x
  2. Step 2: Convert to fraction form
    647.94/975.42 = 590.53/x
  3. Step 3: Cross multiply
    647.94x = 975.42 × 590.53
  4. Step 4: Simplify right side
    647.94x = 576,011.13
  5. Step 5: Solve for x
    x = 576,011.13/647.94
  6. Step 6: Final answer
    x = 888.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.