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Finding the Fourth Proportional to 561.97, 841.65 and 542.51

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Solution

The fourth proportional to 561.97, 841.65 and 542.51 is: 812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.97 : 841.65 = 542.51 : x
  2. Step 2: Convert to fraction form
    561.97/841.65 = 542.51/x
  3. Step 3: Cross multiply
    561.97x = 841.65 × 542.51
  4. Step 4: Simplify right side
    561.97x = 456,603.54
  5. Step 5: Solve for x
    x = 456,603.54/561.97
  6. Step 6: Final answer
    x = 812.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.