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Finding the Fourth Proportional to 707.63, 975.76 and 595.57

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Solution

The fourth proportional to 707.63, 975.76 and 595.57 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.63 : 975.76 = 595.57 : x
  2. Step 2: Convert to fraction form
    707.63/975.76 = 595.57/x
  3. Step 3: Cross multiply
    707.63x = 975.76 × 595.57
  4. Step 4: Simplify right side
    707.63x = 581,133.38
  5. Step 5: Solve for x
    x = 581,133.38/707.63
  6. Step 6: Final answer
    x = 821.24

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1.5x scale

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.