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Finding the Fourth Proportional to 707.81, 976.75 and 530.42

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Solution

The fourth proportional to 707.81, 976.75 and 530.42 is: 731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.81 : 976.75 = 530.42 : x
  2. Step 2: Convert to fraction form
    707.81/976.75 = 530.42/x
  3. Step 3: Cross multiply
    707.81x = 976.75 × 530.42
  4. Step 4: Simplify right side
    707.81x = 518,089.02
  5. Step 5: Solve for x
    x = 518,089.02/707.81
  6. Step 6: Final answer
    x = 731.96

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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.