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Finding the Fourth Proportional to 972.34, 1,341.81 and 530.25

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Solution

The fourth proportional to 972.34, 1,341.81 and 530.25 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,341.81 = 530.25 : x
  2. Step 2: Convert to fraction form
    972.34/1,341.81 = 530.25/x
  3. Step 3: Cross multiply
    972.34x = 1,341.81 × 530.25
  4. Step 4: Simplify right side
    972.34x = 711,492.10
  5. Step 5: Solve for x
    x = 711,492.10/972.34
  6. Step 6: Final answer
    x = 731.73

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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.