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Finding the Fourth Proportional to 707.52, 975.69 and 497.63

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Solution

The fourth proportional to 707.52, 975.69 and 497.63 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.52 : 975.69 = 497.63 : x
  2. Step 2: Convert to fraction form
    707.52/975.69 = 497.63/x
  3. Step 3: Cross multiply
    707.52x = 975.69 × 497.63
  4. Step 4: Simplify right side
    707.52x = 485,527.74
  5. Step 5: Solve for x
    x = 485,527.74/707.52
  6. Step 6: Final answer
    x = 686.24

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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.