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Finding the Fourth Proportional to 972.51, 1,341.97 and 530.40

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Solution

The fourth proportional to 972.51, 1,341.97 and 530.40 is: 731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,341.97 = 530.40 : x
  2. Step 2: Convert to fraction form
    972.51/1,341.97 = 530.40/x
  3. Step 3: Cross multiply
    972.51x = 1,341.97 × 530.40
  4. Step 4: Simplify right side
    972.51x = 711,777.05
  5. Step 5: Solve for x
    x = 711,777.05/972.51
  6. Step 6: Final answer
    x = 731.90

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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.