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Finding the Fourth Proportional to 762.77, 1,051.83 and 652.61

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Solution

The fourth proportional to 762.77, 1,051.83 and 652.61 is: 899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.77 : 1,051.83 = 652.61 : x
  2. Step 2: Convert to fraction form
    762.77/1,051.83 = 652.61/x
  3. Step 3: Cross multiply
    762.77x = 1,051.83 × 652.61
  4. Step 4: Simplify right side
    762.77x = 686,429.52
  5. Step 5: Solve for x
    x = 686,429.52/762.77
  6. Step 6: Final answer
    x = 899.92

Related Problems

Find fourth proportional to 381.38, 525.92 and 326.30
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Double scale
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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.